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Finding the Third Proportional to 207,972 and 450,908

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Solution

The third proportional to 207,972 and 450,908 is: 977,622.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,972 : 450,908 = 450,908 : x
  2. Step 2: Convert to fraction form
    207,972/450,908 = 450,908/x
  3. Step 3: Cross multiply
    207,972x = 450,908 × 450,908
  4. Step 4: Simplify right side
    207,972x = 203,318,024,464
  5. Step 5: Solve for x
    x = 203,318,024,464/207,972
  6. Step 6: Final answer
    x = 977,622.11

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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.