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Finding the Third Proportional to 181,288 and 392,707

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Solution

The third proportional to 181,288 and 392,707 is: 850,683.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,288 : 392,707 = 392,707 : x
  2. Step 2: Convert to fraction form
    181,288/392,707 = 392,707/x
  3. Step 3: Cross multiply
    181,288x = 392,707 × 392,707
  4. Step 4: Simplify right side
    181,288x = 154,218,787,849
  5. Step 5: Solve for x
    x = 154,218,787,849/181,288
  6. Step 6: Final answer
    x = 850,683.93

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.