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Finding the Third Proportional to 281,666 and 611,908

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Solution

The third proportional to 281,666 and 611,908 is: 1,329,345.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,666 : 611,908 = 611,908 : x
  2. Step 2: Convert to fraction form
    281,666/611,908 = 611,908/x
  3. Step 3: Cross multiply
    281,666x = 611,908 × 611,908
  4. Step 4: Simplify right side
    281,666x = 374,431,400,464
  5. Step 5: Solve for x
    x = 374,431,400,464/281,666
  6. Step 6: Final answer
    x = 1,329,345.40

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.