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Finding the Third Proportional to 128,250 and 282,762

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Solution

The third proportional to 128,250 and 282,762 is: 623,425.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,250 : 282,762 = 282,762 : x
  2. Step 2: Convert to fraction form
    128,250/282,762 = 282,762/x
  3. Step 3: Cross multiply
    128,250x = 282,762 × 282,762
  4. Step 4: Simplify right side
    128,250x = 79,954,348,644
  5. Step 5: Solve for x
    x = 79,954,348,644/128,250
  6. Step 6: Final answer
    x = 623,425.72

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.