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Finding the Third Proportional to 52,784 and 77,448

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Solution

The third proportional to 52,784 and 77,448 is: 113,636.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,784 : 77,448 = 77,448 : x
  2. Step 2: Convert to fraction form
    52,784/77,448 = 77,448/x
  3. Step 3: Cross multiply
    52,784x = 77,448 × 77,448
  4. Step 4: Simplify right side
    52,784x = 5,998,192,704
  5. Step 5: Solve for x
    x = 5,998,192,704/52,784
  6. Step 6: Final answer
    x = 113,636.57

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.