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Finding the Third Proportional to 238,575,855 and 521,810,142

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Solution

The third proportional to 238,575,855 and 521,810,142 is: 1,141,296,650.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,575,855 : 521,810,142 = 521,810,142 : x
  2. Step 2: Convert to fraction form
    238,575,855/521,810,142 = 521,810,142/x
  3. Step 3: Cross multiply
    238,575,855x = 521,810,142 × 521,810,142
  4. Step 4: Simplify right side
    238,575,855x = 272,285,824,294,060,160
  5. Step 5: Solve for x
    x = 272,285,824,294,060,160/238,575,855
  6. Step 6: Final answer
    x = 1,141,296,650.89

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.