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Finding the Third Proportional to 321,534 and 687,352

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Solution

The third proportional to 321,534 and 687,352 is: 1,469,371.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,534 : 687,352 = 687,352 : x
  2. Step 2: Convert to fraction form
    321,534/687,352 = 687,352/x
  3. Step 3: Cross multiply
    321,534x = 687,352 × 687,352
  4. Step 4: Simplify right side
    321,534x = 472,452,771,904
  5. Step 5: Solve for x
    x = 472,452,771,904/321,534
  6. Step 6: Final answer
    x = 1,469,371.11

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.