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Finding the Third Proportional to 281,566 and 615,620

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Solution

The third proportional to 281,566 and 615,620 is: 1,346,000.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,566 : 615,620 = 615,620 : x
  2. Step 2: Convert to fraction form
    281,566/615,620 = 615,620/x
  3. Step 3: Cross multiply
    281,566x = 615,620 × 615,620
  4. Step 4: Simplify right side
    281,566x = 378,987,984,400
  5. Step 5: Solve for x
    x = 378,987,984,400/281,566
  6. Step 6: Final answer
    x = 1,346,000.53

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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.