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Finding the Third Proportional to 127,754 and 281,428

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Solution

The third proportional to 127,754 and 281,428 is: 619,954.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,754 : 281,428 = 281,428 : x
  2. Step 2: Convert to fraction form
    127,754/281,428 = 281,428/x
  3. Step 3: Cross multiply
    127,754x = 281,428 × 281,428
  4. Step 4: Simplify right side
    127,754x = 79,201,719,184
  5. Step 5: Solve for x
    x = 79,201,719,184/127,754
  6. Step 6: Final answer
    x = 619,954.91

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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.