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Finding the Third Proportional to 386,727 and 837,960

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Solution

The third proportional to 386,727 and 837,960 is: 1,815,691.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,727 : 837,960 = 837,960 : x
  2. Step 2: Convert to fraction form
    386,727/837,960 = 837,960/x
  3. Step 3: Cross multiply
    386,727x = 837,960 × 837,960
  4. Step 4: Simplify right side
    386,727x = 702,176,961,600
  5. Step 5: Solve for x
    x = 702,176,961,600/386,727
  6. Step 6: Final answer
    x = 1,815,691.59

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.