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Finding the Third Proportional to 329,486 and 723,124

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Solution

The third proportional to 329,486 and 723,124 is: 1,587,042.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,486 : 723,124 = 723,124 : x
  2. Step 2: Convert to fraction form
    329,486/723,124 = 723,124/x
  3. Step 3: Cross multiply
    329,486x = 723,124 × 723,124
  4. Step 4: Simplify right side
    329,486x = 522,908,319,376
  5. Step 5: Solve for x
    x = 522,908,319,376/329,486
  6. Step 6: Final answer
    x = 1,587,042.60

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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.