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Finding the Third Proportional to 170,772 and 274,386

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Solution

The third proportional to 170,772 and 274,386 is: 440,866.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,772 : 274,386 = 274,386 : x
  2. Step 2: Convert to fraction form
    170,772/274,386 = 274,386/x
  3. Step 3: Cross multiply
    170,772x = 274,386 × 274,386
  4. Step 4: Simplify right side
    170,772x = 75,287,676,996
  5. Step 5: Solve for x
    x = 75,287,676,996/170,772
  6. Step 6: Final answer
    x = 440,866.64

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.