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Finding the Third Proportional to 417,828.38 and 645,909.19

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Solution

The third proportional to 417,828.38 and 645,909.19 is: 998,492.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,828.38 : 645,909.19 = 645,909.19 : x
  2. Step 2: Convert to fraction form
    417,828.38/645,909.19 = 645,909.19/x
  3. Step 3: Cross multiply
    417,828.38x = 645,909.19 × 645,909.19
  4. Step 4: Simplify right side
    417,828.38x = 417,198,678,496.91
  5. Step 5: Solve for x
    x = 417,198,678,496.91/417,828.38
  6. Step 6: Final answer
    x = 998,492.93

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.