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Finding the Third Proportional to 135,664 and 207,528

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Solution

The third proportional to 135,664 and 207,528 is: 317,459.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,664 : 207,528 = 207,528 : x
  2. Step 2: Convert to fraction form
    135,664/207,528 = 207,528/x
  3. Step 3: Cross multiply
    135,664x = 207,528 × 207,528
  4. Step 4: Simplify right side
    135,664x = 43,067,870,784
  5. Step 5: Solve for x
    x = 43,067,870,784/135,664
  6. Step 6: Final answer
    x = 317,459.83

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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.