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Finding the Third Proportional to 128,304 and 281,394

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Solution

The third proportional to 128,304 and 281,394 is: 617,148.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,304 : 281,394 = 281,394 : x
  2. Step 2: Convert to fraction form
    128,304/281,394 = 281,394/x
  3. Step 3: Cross multiply
    128,304x = 281,394 × 281,394
  4. Step 4: Simplify right side
    128,304x = 79,182,583,236
  5. Step 5: Solve for x
    x = 79,182,583,236/128,304
  6. Step 6: Final answer
    x = 617,148.20

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.