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Finding the Third Proportional to 170,280 and 397,716

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Solution

The third proportional to 170,280 and 397,716 is: 928,928.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,280 : 397,716 = 397,716 : x
  2. Step 2: Convert to fraction form
    170,280/397,716 = 397,716/x
  3. Step 3: Cross multiply
    170,280x = 397,716 × 397,716
  4. Step 4: Simplify right side
    170,280x = 158,178,016,656
  5. Step 5: Solve for x
    x = 158,178,016,656/170,280
  6. Step 6: Final answer
    x = 928,928.92

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.