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Finding the Third Proportional to 442,772 and 691,806

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Solution

The third proportional to 442,772 and 691,806 is: 1,080,907.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,772 : 691,806 = 691,806 : x
  2. Step 2: Convert to fraction form
    442,772/691,806 = 691,806/x
  3. Step 3: Cross multiply
    442,772x = 691,806 × 691,806
  4. Step 4: Simplify right side
    442,772x = 478,595,541,636
  5. Step 5: Solve for x
    x = 478,595,541,636/442,772
  6. Step 6: Final answer
    x = 1,080,907.42

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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.