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Finding the Third Proportional to 403,102 and 609,864

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Solution

The third proportional to 403,102 and 609,864 is: 922,679.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,102 : 609,864 = 609,864 : x
  2. Step 2: Convert to fraction form
    403,102/609,864 = 609,864/x
  3. Step 3: Cross multiply
    403,102x = 609,864 × 609,864
  4. Step 4: Simplify right side
    403,102x = 371,934,098,496
  5. Step 5: Solve for x
    x = 371,934,098,496/403,102
  6. Step 6: Final answer
    x = 922,679.86

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.