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Finding the Third Proportional to 138,344 and 211,528

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Solution

The third proportional to 138,344 and 211,528 is: 323,426.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,344 : 211,528 = 211,528 : x
  2. Step 2: Convert to fraction form
    138,344/211,528 = 211,528/x
  3. Step 3: Cross multiply
    138,344x = 211,528 × 211,528
  4. Step 4: Simplify right side
    138,344x = 44,744,094,784
  5. Step 5: Solve for x
    x = 44,744,094,784/138,344
  6. Step 6: Final answer
    x = 323,426.35

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.