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Finding the Third Proportional to 329,452 and 721,940

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Solution

The third proportional to 329,452 and 721,940 is: 1,582,013.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,452 : 721,940 = 721,940 : x
  2. Step 2: Convert to fraction form
    329,452/721,940 = 721,940/x
  3. Step 3: Cross multiply
    329,452x = 721,940 × 721,940
  4. Step 4: Simplify right side
    329,452x = 521,197,363,600
  5. Step 5: Solve for x
    x = 521,197,363,600/329,452
  6. Step 6: Final answer
    x = 1,582,013.05

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.