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Finding the Third Proportional to 329,076 and 699,674

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Solution

The third proportional to 329,076 and 699,674 is: 1,487,631.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,076 : 699,674 = 699,674 : x
  2. Step 2: Convert to fraction form
    329,076/699,674 = 699,674/x
  3. Step 3: Cross multiply
    329,076x = 699,674 × 699,674
  4. Step 4: Simplify right side
    329,076x = 489,543,706,276
  5. Step 5: Solve for x
    x = 489,543,706,276/329,076
  6. Step 6: Final answer
    x = 1,487,631.14

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.