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Finding the Third Proportional to 418,612.50 and 668,310.75

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Solution

The third proportional to 418,612.50 and 668,310.75 is: 1,066,951.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,612.50 : 668,310.75 = 668,310.75 : x
  2. Step 2: Convert to fraction form
    418,612.50/668,310.75 = 668,310.75/x
  3. Step 3: Cross multiply
    418,612.50x = 668,310.75 × 668,310.75
  4. Step 4: Simplify right side
    418,612.50x = 446,639,258,565.56
  5. Step 5: Solve for x
    x = 446,639,258,565.56/418,612.50
  6. Step 6: Final answer
    x = 1,066,951.56

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.