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Finding the Third Proportional to 180,520 and 391,657

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Solution

The third proportional to 180,520 and 391,657 is: 849,740.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,520 : 391,657 = 391,657 : x
  2. Step 2: Convert to fraction form
    180,520/391,657 = 391,657/x
  3. Step 3: Cross multiply
    180,520x = 391,657 × 391,657
  4. Step 4: Simplify right side
    180,520x = 153,395,205,649
  5. Step 5: Solve for x
    x = 153,395,205,649/180,520
  6. Step 6: Final answer
    x = 849,740.78

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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.