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Finding the Third Proportional to 138,308 and 203,062

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Solution

The third proportional to 138,308 and 203,062 is: 298,132.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,308 : 203,062 = 203,062 : x
  2. Step 2: Convert to fraction form
    138,308/203,062 = 203,062/x
  3. Step 3: Cross multiply
    138,308x = 203,062 × 203,062
  4. Step 4: Simplify right side
    138,308x = 41,234,175,844
  5. Step 5: Solve for x
    x = 41,234,175,844/138,308
  6. Step 6: Final answer
    x = 298,132.98

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.