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Finding the Third Proportional to 454,272.75 and 661,689

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Solution

The third proportional to 454,272.75 and 661,689 is: 963,809.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,272.75 : 661,689 = 661,689 : x
  2. Step 2: Convert to fraction form
    454,272.75/661,689 = 661,689/x
  3. Step 3: Cross multiply
    454,272.75x = 661,689 × 661,689
  4. Step 4: Simplify right side
    454,272.75x = 437,832,332,721
  5. Step 5: Solve for x
    x = 437,832,332,721/454,272.75
  6. Step 6: Final answer
    x = 963,809.37

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.