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Finding the Third Proportional to 418,129.50 and 664,578

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Solution

The third proportional to 418,129.50 and 664,578 is: 1,056,285.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,129.50 : 664,578 = 664,578 : x
  2. Step 2: Convert to fraction form
    418,129.50/664,578 = 664,578/x
  3. Step 3: Cross multiply
    418,129.50x = 664,578 × 664,578
  4. Step 4: Simplify right side
    418,129.50x = 441,663,918,084
  5. Step 5: Solve for x
    x = 441,663,918,084/418,129.50
  6. Step 6: Final answer
    x = 1,056,285.00

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.