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Finding the Third Proportional to 60,034 and 129,380

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Solution

The third proportional to 60,034 and 129,380 is: 278,828.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,034 : 129,380 = 129,380 : x
  2. Step 2: Convert to fraction form
    60,034/129,380 = 129,380/x
  3. Step 3: Cross multiply
    60,034x = 129,380 × 129,380
  4. Step 4: Simplify right side
    60,034x = 16,739,184,400
  5. Step 5: Solve for x
    x = 16,739,184,400/60,034
  6. Step 6: Final answer
    x = 278,828.40

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.