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Finding the Third Proportional to 415,872 and 810,720

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Solution

The third proportional to 415,872 and 810,720 is: 1,580,454.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,872 : 810,720 = 810,720 : x
  2. Step 2: Convert to fraction form
    415,872/810,720 = 810,720/x
  3. Step 3: Cross multiply
    415,872x = 810,720 × 810,720
  4. Step 4: Simplify right side
    415,872x = 657,266,918,400
  5. Step 5: Solve for x
    x = 657,266,918,400/415,872
  6. Step 6: Final answer
    x = 1,580,454.85

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.