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Finding the Third Proportional to 329,454 and 721,944

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Solution

The third proportional to 329,454 and 721,944 is: 1,582,020.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,454 : 721,944 = 721,944 : x
  2. Step 2: Convert to fraction form
    329,454/721,944 = 721,944/x
  3. Step 3: Cross multiply
    329,454x = 721,944 × 721,944
  4. Step 4: Simplify right side
    329,454x = 521,203,139,136
  5. Step 5: Solve for x
    x = 521,203,139,136/329,454
  6. Step 6: Final answer
    x = 1,582,020.98

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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.