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Finding the Third Proportional to 88,102 and 128,448

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Solution

The third proportional to 88,102 and 128,448 is: 187,270.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,102 : 128,448 = 128,448 : x
  2. Step 2: Convert to fraction form
    88,102/128,448 = 128,448/x
  3. Step 3: Cross multiply
    88,102x = 128,448 × 128,448
  4. Step 4: Simplify right side
    88,102x = 16,498,888,704
  5. Step 5: Solve for x
    x = 16,498,888,704/88,102
  6. Step 6: Final answer
    x = 187,270.31

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.