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Finding the Third Proportional to 408,410 and 613,059

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Solution

The third proportional to 408,410 and 613,059 is: 920,254.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,410 : 613,059 = 613,059 : x
  2. Step 2: Convert to fraction form
    408,410/613,059 = 613,059/x
  3. Step 3: Cross multiply
    408,410x = 613,059 × 613,059
  4. Step 4: Simplify right side
    408,410x = 375,841,337,481
  5. Step 5: Solve for x
    x = 375,841,337,481/408,410
  6. Step 6: Final answer
    x = 920,254.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.