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Finding the Third Proportional to 12,415 and 29,281

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Solution

The third proportional to 12,415 and 29,281 is: 69,059.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,415 : 29,281 = 29,281 : x
  2. Step 2: Convert to fraction form
    12,415/29,281 = 29,281/x
  3. Step 3: Cross multiply
    12,415x = 29,281 × 29,281
  4. Step 4: Simplify right side
    12,415x = 857,376,961
  5. Step 5: Solve for x
    x = 857,376,961/12,415
  6. Step 6: Final answer
    x = 69,059.76

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.