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Finding the Third Proportional to 386,998 and 569,121

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Solution

The third proportional to 386,998 and 569,121 is: 836,951.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,998 : 569,121 = 569,121 : x
  2. Step 2: Convert to fraction form
    386,998/569,121 = 569,121/x
  3. Step 3: Cross multiply
    386,998x = 569,121 × 569,121
  4. Step 4: Simplify right side
    386,998x = 323,898,712,641
  5. Step 5: Solve for x
    x = 323,898,712,641/386,998
  6. Step 6: Final answer
    x = 836,951.90

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.