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Finding the Third Proportional to 181,211 and 385,750

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Solution

The third proportional to 181,211 and 385,750 is: 821,159.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,211 : 385,750 = 385,750 : x
  2. Step 2: Convert to fraction form
    181,211/385,750 = 385,750/x
  3. Step 3: Cross multiply
    181,211x = 385,750 × 385,750
  4. Step 4: Simplify right side
    181,211x = 148,803,062,500
  5. Step 5: Solve for x
    x = 148,803,062,500/181,211
  6. Step 6: Final answer
    x = 821,159.10

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.