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Finding the Third Proportional to 555,309,699,326 and 781,998,424,383

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Solution

The third proportional to 555,309,699,326 and 781,998,424,383 is: 1,101,226,102,262.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    555,309,699,326 : 781,998,424,383 = 781,998,424,383 : x
  2. Step 2: Convert to fraction form
    555,309,699,326/781,998,424,383 = 781,998,424,383/x
  3. Step 3: Cross multiply
    555,309,699,326x = 781,998,424,383 × 781,998,424,383
  4. Step 4: Simplify right side
    555,309,699,326x = 611,521,535,737,494,518,104,064
  5. Step 5: Solve for x
    x = 611,521,535,737,494,518,104,064/555,309,699,326
  6. Step 6: Final answer
    x = 1,101,226,102,262.79

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.