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Finding the Third Proportional to 60,110 and 128,560

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Solution

The third proportional to 60,110 and 128,560 is: 274,957.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,110 : 128,560 = 128,560 : x
  2. Step 2: Convert to fraction form
    60,110/128,560 = 128,560/x
  3. Step 3: Cross multiply
    60,110x = 128,560 × 128,560
  4. Step 4: Simplify right side
    60,110x = 16,527,673,600
  5. Step 5: Solve for x
    x = 16,527,673,600/60,110
  6. Step 6: Final answer
    x = 274,957.14

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.