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Finding the Third Proportional to 642,854.25 and 961,124.63

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Solution

The third proportional to 642,854.25 and 961,124.63 is: 1,436,967.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,854.25 : 961,124.63 = 961,124.63 : x
  2. Step 2: Convert to fraction form
    642,854.25/961,124.63 = 961,124.63/x
  3. Step 3: Cross multiply
    642,854.25x = 961,124.63 × 961,124.63
  4. Step 4: Simplify right side
    642,854.25x = 923,760,544,781.39
  5. Step 5: Solve for x
    x = 923,760,544,781.39/642,854.25
  6. Step 6: Final answer
    x = 1,436,967.31

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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.