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Finding the Third Proportional to 138,538.50 and 299,218.50

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Solution

The third proportional to 138,538.50 and 299,218.50 is: 646,258.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,538.50 : 299,218.50 = 299,218.50 : x
  2. Step 2: Convert to fraction form
    138,538.50/299,218.50 = 299,218.50/x
  3. Step 3: Cross multiply
    138,538.50x = 299,218.50 × 299,218.50
  4. Step 4: Simplify right side
    138,538.50x = 89,531,710,742.25
  5. Step 5: Solve for x
    x = 89,531,710,742.25/138,538.50
  6. Step 6: Final answer
    x = 646,258.70

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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.