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Finding the Third Proportional to 71,489 and 152,476

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Solution

The third proportional to 71,489 and 152,476 is: 325,209.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,489 : 152,476 = 152,476 : x
  2. Step 2: Convert to fraction form
    71,489/152,476 = 152,476/x
  3. Step 3: Cross multiply
    71,489x = 152,476 × 152,476
  4. Step 4: Simplify right side
    71,489x = 23,248,930,576
  5. Step 5: Solve for x
    x = 23,248,930,576/71,489
  6. Step 6: Final answer
    x = 325,209.90

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.