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Finding the Third Proportional to 413,892 and 556,209

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Solution

The third proportional to 413,892 and 556,209 is: 747,461.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,892 : 556,209 = 556,209 : x
  2. Step 2: Convert to fraction form
    413,892/556,209 = 556,209/x
  3. Step 3: Cross multiply
    413,892x = 556,209 × 556,209
  4. Step 4: Simplify right side
    413,892x = 309,368,451,681
  5. Step 5: Solve for x
    x = 309,368,451,681/413,892
  6. Step 6: Final answer
    x = 747,461.78

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.