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Finding the Third Proportional to 415,317 and 650,655

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Solution

The third proportional to 415,317 and 650,655 is: 1,019,346.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,317 : 650,655 = 650,655 : x
  2. Step 2: Convert to fraction form
    415,317/650,655 = 650,655/x
  3. Step 3: Cross multiply
    415,317x = 650,655 × 650,655
  4. Step 4: Simplify right side
    415,317x = 423,351,929,025
  5. Step 5: Solve for x
    x = 423,351,929,025/415,317
  6. Step 6: Final answer
    x = 1,019,346.50

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.