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Finding the Third Proportional to 238,092,117.75 and 485,750,128.50

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Solution

The third proportional to 238,092,117.75 and 485,750,128.50 is: 991,016,374.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,092,117.75 : 485,750,128.50 = 485,750,128.50 : x
  2. Step 2: Convert to fraction form
    238,092,117.75/485,750,128.50 = 485,750,128.50/x
  3. Step 3: Cross multiply
    238,092,117.75x = 485,750,128.50 × 485,750,128.50
  4. Step 4: Simplify right side
    238,092,117.75x = 235,953,187,337,766,528
  5. Step 5: Solve for x
    x = 235,953,187,337,766,528/238,092,117.75
  6. Step 6: Final answer
    x = 991,016,374.53

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.