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Finding the Third Proportional to 323,722 and 711,680

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Solution

The third proportional to 323,722 and 711,680 is: 1,564,578.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,722 : 711,680 = 711,680 : x
  2. Step 2: Convert to fraction form
    323,722/711,680 = 711,680/x
  3. Step 3: Cross multiply
    323,722x = 711,680 × 711,680
  4. Step 4: Simplify right side
    323,722x = 506,488,422,400
  5. Step 5: Solve for x
    x = 506,488,422,400/323,722
  6. Step 6: Final answer
    x = 1,564,578.32

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.