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Finding the Third Proportional to 138,322.13 and 212,708.25

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Solution

The third proportional to 138,322.13 and 212,708.25 is: 327,097.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,322.13 : 212,708.25 = 212,708.25 : x
  2. Step 2: Convert to fraction form
    138,322.13/212,708.25 = 212,708.25/x
  3. Step 3: Cross multiply
    138,322.13x = 212,708.25 × 212,708.25
  4. Step 4: Simplify right side
    138,322.13x = 45,244,799,618.06
  5. Step 5: Solve for x
    x = 45,244,799,618.06/138,322.13
  6. Step 6: Final answer
    x = 327,097.34

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.