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Finding the Third Proportional to 642,071 and 961,010

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Solution

The third proportional to 642,071 and 961,010 is: 1,438,377.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,071 : 961,010 = 961,010 : x
  2. Step 2: Convert to fraction form
    642,071/961,010 = 961,010/x
  3. Step 3: Cross multiply
    642,071x = 961,010 × 961,010
  4. Step 4: Simplify right side
    642,071x = 923,540,220,100
  5. Step 5: Solve for x
    x = 923,540,220,100/642,071
  6. Step 6: Final answer
    x = 1,438,377.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.