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Finding the Third Proportional to 128,712 and 283,620

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Solution

The third proportional to 128,712 and 283,620 is: 624,963.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,712 : 283,620 = 283,620 : x
  2. Step 2: Convert to fraction form
    128,712/283,620 = 283,620/x
  3. Step 3: Cross multiply
    128,712x = 283,620 × 283,620
  4. Step 4: Simplify right side
    128,712x = 80,440,304,400
  5. Step 5: Solve for x
    x = 80,440,304,400/128,712
  6. Step 6: Final answer
    x = 624,963.52

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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.