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Finding the Third Proportional to 415,665 and 669,438

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Solution

The third proportional to 415,665 and 669,438 is: 1,078,145.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,665 : 669,438 = 669,438 : x
  2. Step 2: Convert to fraction form
    415,665/669,438 = 669,438/x
  3. Step 3: Cross multiply
    415,665x = 669,438 × 669,438
  4. Step 4: Simplify right side
    415,665x = 448,147,235,844
  5. Step 5: Solve for x
    x = 448,147,235,844/415,665
  6. Step 6: Final answer
    x = 1,078,145.23

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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.