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Finding the Third Proportional to 128,134 and 280,402

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Solution

The third proportional to 128,134 and 280,402 is: 613,617.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,134 : 280,402 = 280,402 : x
  2. Step 2: Convert to fraction form
    128,134/280,402 = 280,402/x
  3. Step 3: Cross multiply
    128,134x = 280,402 × 280,402
  4. Step 4: Simplify right side
    128,134x = 78,625,281,604
  5. Step 5: Solve for x
    x = 78,625,281,604/128,134
  6. Step 6: Final answer
    x = 613,617.63

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.