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Finding the Third Proportional to 128,210 and 280,549

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Solution

The third proportional to 128,210 and 280,549 is: 613,897.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,210 : 280,549 = 280,549 : x
  2. Step 2: Convert to fraction form
    128,210/280,549 = 280,549/x
  3. Step 3: Cross multiply
    128,210x = 280,549 × 280,549
  4. Step 4: Simplify right side
    128,210x = 78,707,741,401
  5. Step 5: Solve for x
    x = 78,707,741,401/128,210
  6. Step 6: Final answer
    x = 613,897.05

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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.