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Finding the Third Proportional to 91,710 and 138,858

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Solution

The third proportional to 91,710 and 138,858 is: 210,244.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,710 : 138,858 = 138,858 : x
  2. Step 2: Convert to fraction form
    91,710/138,858 = 138,858/x
  3. Step 3: Cross multiply
    91,710x = 138,858 × 138,858
  4. Step 4: Simplify right side
    91,710x = 19,281,544,164
  5. Step 5: Solve for x
    x = 19,281,544,164/91,710
  6. Step 6: Final answer
    x = 210,244.73

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.