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Finding the Third Proportional to 42,300,418.50 and 92,766,001.50

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Solution

The third proportional to 42,300,418.50 and 92,766,001.50 is: 203,438,437.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,300,418.50 : 92,766,001.50 = 92,766,001.50 : x
  2. Step 2: Convert to fraction form
    42,300,418.50/92,766,001.50 = 92,766,001.50/x
  3. Step 3: Cross multiply
    42,300,418.50x = 92,766,001.50 × 92,766,001.50
  4. Step 4: Simplify right side
    42,300,418.50x = 8,605,531,034,298,002
  5. Step 5: Solve for x
    x = 8,605,531,034,298,002/42,300,418.50
  6. Step 6: Final answer
    x = 203,438,437.24

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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.