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Finding the Third Proportional to 451,650 and 664,998

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Solution

The third proportional to 451,650 and 664,998 is: 979,126.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,650 : 664,998 = 664,998 : x
  2. Step 2: Convert to fraction form
    451,650/664,998 = 664,998/x
  3. Step 3: Cross multiply
    451,650x = 664,998 × 664,998
  4. Step 4: Simplify right side
    451,650x = 442,222,340,004
  5. Step 5: Solve for x
    x = 442,222,340,004/451,650
  6. Step 6: Final answer
    x = 979,126.18

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.