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Finding the Third Proportional to 135,280 and 210,287

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Solution

The third proportional to 135,280 and 210,287 is: 326,882.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,280 : 210,287 = 210,287 : x
  2. Step 2: Convert to fraction form
    135,280/210,287 = 210,287/x
  3. Step 3: Cross multiply
    135,280x = 210,287 × 210,287
  4. Step 4: Simplify right side
    135,280x = 44,220,622,369
  5. Step 5: Solve for x
    x = 44,220,622,369/135,280
  6. Step 6: Final answer
    x = 326,882.19

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.