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Finding the Third Proportional to 451,654.13 and 660,520.50

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Solution

The third proportional to 451,654.13 and 660,520.50 is: 965,976.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,654.13 : 660,520.50 = 660,520.50 : x
  2. Step 2: Convert to fraction form
    451,654.13/660,520.50 = 660,520.50/x
  3. Step 3: Cross multiply
    451,654.13x = 660,520.50 × 660,520.50
  4. Step 4: Simplify right side
    451,654.13x = 436,287,330,920.25
  5. Step 5: Solve for x
    x = 436,287,330,920.25/451,654.13
  6. Step 6: Final answer
    x = 965,976.63

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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.