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Finding the Third Proportional to 138,595.50 and 181,989

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Solution

The third proportional to 138,595.50 and 181,989 is: 238,968.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,595.50 : 181,989 = 181,989 : x
  2. Step 2: Convert to fraction form
    138,595.50/181,989 = 181,989/x
  3. Step 3: Cross multiply
    138,595.50x = 181,989 × 181,989
  4. Step 4: Simplify right side
    138,595.50x = 33,119,996,121
  5. Step 5: Solve for x
    x = 33,119,996,121/138,595.50
  6. Step 6: Final answer
    x = 238,968.77

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.