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Finding the Third Proportional to 415,952 and 669,864

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Solution

The third proportional to 415,952 and 669,864 is: 1,078,772.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,952 : 669,864 = 669,864 : x
  2. Step 2: Convert to fraction form
    415,952/669,864 = 669,864/x
  3. Step 3: Cross multiply
    415,952x = 669,864 × 669,864
  4. Step 4: Simplify right side
    415,952x = 448,717,778,496
  5. Step 5: Solve for x
    x = 448,717,778,496/415,952
  6. Step 6: Final answer
    x = 1,078,772.98

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.