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Finding the Third Proportional to 267,488 and 415,515

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Solution

The third proportional to 267,488 and 415,515 is: 645,459.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,488 : 415,515 = 415,515 : x
  2. Step 2: Convert to fraction form
    267,488/415,515 = 415,515/x
  3. Step 3: Cross multiply
    267,488x = 415,515 × 415,515
  4. Step 4: Simplify right side
    267,488x = 172,652,715,225
  5. Step 5: Solve for x
    x = 172,652,715,225/267,488
  6. Step 6: Final answer
    x = 645,459.67

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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.