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Finding the Third Proportional to 642,070 and 961,008.50

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Solution

The third proportional to 642,070 and 961,008.50 is: 1,438,374.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,070 : 961,008.50 = 961,008.50 : x
  2. Step 2: Convert to fraction form
    642,070/961,008.50 = 961,008.50/x
  3. Step 3: Cross multiply
    642,070x = 961,008.50 × 961,008.50
  4. Step 4: Simplify right side
    642,070x = 923,537,337,072.25
  5. Step 5: Solve for x
    x = 923,537,337,072.25/642,070
  6. Step 6: Final answer
    x = 1,438,374.85

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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.