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Finding the Third Proportional to 135,528 and 209,436

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Solution

The third proportional to 135,528 and 209,436 is: 323,648.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,528 : 209,436 = 209,436 : x
  2. Step 2: Convert to fraction form
    135,528/209,436 = 209,436/x
  3. Step 3: Cross multiply
    135,528x = 209,436 × 209,436
  4. Step 4: Simplify right side
    135,528x = 43,863,438,096
  5. Step 5: Solve for x
    x = 43,863,438,096/135,528
  6. Step 6: Final answer
    x = 323,648.53

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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.