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Finding the Third Proportional to 281,066 and 663,473

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Solution

The third proportional to 281,066 and 663,473 is: 1,566,167.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,066 : 663,473 = 663,473 : x
  2. Step 2: Convert to fraction form
    281,066/663,473 = 663,473/x
  3. Step 3: Cross multiply
    281,066x = 663,473 × 663,473
  4. Step 4: Simplify right side
    281,066x = 440,196,421,729
  5. Step 5: Solve for x
    x = 440,196,421,729/281,066
  6. Step 6: Final answer
    x = 1,566,167.45

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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.