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Finding the Third Proportional to 38,989 and 84,219.50

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Solution

The third proportional to 38,989 and 84,219.50 is: 181,921.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,989 : 84,219.50 = 84,219.50 : x
  2. Step 2: Convert to fraction form
    38,989/84,219.50 = 84,219.50/x
  3. Step 3: Cross multiply
    38,989x = 84,219.50 × 84,219.50
  4. Step 4: Simplify right side
    38,989x = 7,092,924,180.25
  5. Step 5: Solve for x
    x = 7,092,924,180.25/38,989
  6. Step 6: Final answer
    x = 181,921.16

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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.