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Finding the Third Proportional to 281,060 and 663,458

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Solution

The third proportional to 281,060 and 663,458 is: 1,566,130.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,060 : 663,458 = 663,458 : x
  2. Step 2: Convert to fraction form
    281,060/663,458 = 663,458/x
  3. Step 3: Cross multiply
    281,060x = 663,458 × 663,458
  4. Step 4: Simplify right side
    281,060x = 440,176,517,764
  5. Step 5: Solve for x
    x = 440,176,517,764/281,060
  6. Step 6: Final answer
    x = 1,566,130.07

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.