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Finding the Third Proportional to 281,528 and 619,102

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Solution

The third proportional to 281,528 and 619,102 is: 1,361,453.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,528 : 619,102 = 619,102 : x
  2. Step 2: Convert to fraction form
    281,528/619,102 = 619,102/x
  3. Step 3: Cross multiply
    281,528x = 619,102 × 619,102
  4. Step 4: Simplify right side
    281,528x = 383,287,286,404
  5. Step 5: Solve for x
    x = 383,287,286,404/281,528
  6. Step 6: Final answer
    x = 1,361,453.52

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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.