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Finding the Third Proportional to 181,240 and 391,639

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Solution

The third proportional to 181,240 and 391,639 is: 846,287.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,240 : 391,639 = 391,639 : x
  2. Step 2: Convert to fraction form
    181,240/391,639 = 391,639/x
  3. Step 3: Cross multiply
    181,240x = 391,639 × 391,639
  4. Step 4: Simplify right side
    181,240x = 153,381,106,321
  5. Step 5: Solve for x
    x = 153,381,106,321/181,240
  6. Step 6: Final answer
    x = 846,287.28

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.