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Finding the Third Proportional to 458,434 and 688,517

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Solution

The third proportional to 458,434 and 688,517 is: 1,034,076.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,434 : 688,517 = 688,517 : x
  2. Step 2: Convert to fraction form
    458,434/688,517 = 688,517/x
  3. Step 3: Cross multiply
    458,434x = 688,517 × 688,517
  4. Step 4: Simplify right side
    458,434x = 474,055,659,289
  5. Step 5: Solve for x
    x = 474,055,659,289/458,434
  6. Step 6: Final answer
    x = 1,034,076.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.