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Finding the Third Proportional to 102,369 and 220,729

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Solution

The third proportional to 102,369 and 220,729 is: 475,937.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,369 : 220,729 = 220,729 : x
  2. Step 2: Convert to fraction form
    102,369/220,729 = 220,729/x
  3. Step 3: Cross multiply
    102,369x = 220,729 × 220,729
  4. Step 4: Simplify right side
    102,369x = 48,721,291,441
  5. Step 5: Solve for x
    x = 48,721,291,441/102,369
  6. Step 6: Final answer
    x = 475,937.94

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.