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Finding the Third Proportional to 386,957 and 869,089

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Solution

The third proportional to 386,957 and 869,089 is: 1,951,937.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,957 : 869,089 = 869,089 : x
  2. Step 2: Convert to fraction form
    386,957/869,089 = 869,089/x
  3. Step 3: Cross multiply
    386,957x = 869,089 × 869,089
  4. Step 4: Simplify right side
    386,957x = 755,315,689,921
  5. Step 5: Solve for x
    x = 755,315,689,921/386,957
  6. Step 6: Final answer
    x = 1,951,937.01

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.