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Finding the Third Proportional to 12,438 and 26,415

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Solution

The third proportional to 12,438 and 26,415 is: 56,098.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,438 : 26,415 = 26,415 : x
  2. Step 2: Convert to fraction form
    12,438/26,415 = 26,415/x
  3. Step 3: Cross multiply
    12,438x = 26,415 × 26,415
  4. Step 4: Simplify right side
    12,438x = 697,752,225
  5. Step 5: Solve for x
    x = 697,752,225/12,438
  6. Step 6: Final answer
    x = 56,098.43

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.