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Finding the Third Proportional to 138,060 and 212,135

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Solution

The third proportional to 138,060 and 212,135 is: 325,954.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,060 : 212,135 = 212,135 : x
  2. Step 2: Convert to fraction form
    138,060/212,135 = 212,135/x
  3. Step 3: Cross multiply
    138,060x = 212,135 × 212,135
  4. Step 4: Simplify right side
    138,060x = 45,001,258,225
  5. Step 5: Solve for x
    x = 45,001,258,225/138,060
  6. Step 6: Final answer
    x = 325,954.35

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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.