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Finding the Third Proportional to 60,478 and 128,156

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Solution

The third proportional to 60,478 and 128,156 is: 271,569.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,478 : 128,156 = 128,156 : x
  2. Step 2: Convert to fraction form
    60,478/128,156 = 128,156/x
  3. Step 3: Cross multiply
    60,478x = 128,156 × 128,156
  4. Step 4: Simplify right side
    60,478x = 16,423,960,336
  5. Step 5: Solve for x
    x = 16,423,960,336/60,478
  6. Step 6: Final answer
    x = 271,569.17

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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.