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Finding the Third Proportional to 60,534 and 128,278

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Solution

The third proportional to 60,534 and 128,278 is: 271,834.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,534 : 128,278 = 128,278 : x
  2. Step 2: Convert to fraction form
    60,534/128,278 = 128,278/x
  3. Step 3: Cross multiply
    60,534x = 128,278 × 128,278
  4. Step 4: Simplify right side
    60,534x = 16,455,245,284
  5. Step 5: Solve for x
    x = 16,455,245,284/60,534
  6. Step 6: Final answer
    x = 271,834.76

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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.