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Finding the Third Proportional to 642,070 and 961,008

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Solution

The third proportional to 642,070 and 961,008 is: 1,438,373.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,070 : 961,008 = 961,008 : x
  2. Step 2: Convert to fraction form
    642,070/961,008 = 961,008/x
  3. Step 3: Cross multiply
    642,070x = 961,008 × 961,008
  4. Step 4: Simplify right side
    642,070x = 923,536,376,064
  5. Step 5: Solve for x
    x = 923,536,376,064/642,070
  6. Step 6: Final answer
    x = 1,438,373.35

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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.