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Finding the Third Proportional to 181,708 and 391,178

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Solution

The third proportional to 181,708 and 391,178 is: 842,121.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,708 : 391,178 = 391,178 : x
  2. Step 2: Convert to fraction form
    181,708/391,178 = 391,178/x
  3. Step 3: Cross multiply
    181,708x = 391,178 × 391,178
  4. Step 4: Simplify right side
    181,708x = 153,020,227,684
  5. Step 5: Solve for x
    x = 153,020,227,684/181,708
  6. Step 6: Final answer
    x = 842,121.58

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.