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Finding the Third Proportional to 441,680 and 688,764

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Solution

The third proportional to 441,680 and 688,764 is: 1,074,071.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,680 : 688,764 = 688,764 : x
  2. Step 2: Convert to fraction form
    441,680/688,764 = 688,764/x
  3. Step 3: Cross multiply
    441,680x = 688,764 × 688,764
  4. Step 4: Simplify right side
    441,680x = 474,395,847,696
  5. Step 5: Solve for x
    x = 474,395,847,696/441,680
  6. Step 6: Final answer
    x = 1,074,071.38

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.