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Finding the Third Proportional to 91,396 and 138,246

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Solution

The third proportional to 91,396 and 138,246 is: 209,111.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,396 : 138,246 = 138,246 : x
  2. Step 2: Convert to fraction form
    91,396/138,246 = 138,246/x
  3. Step 3: Cross multiply
    91,396x = 138,246 × 138,246
  4. Step 4: Simplify right side
    91,396x = 19,111,956,516
  5. Step 5: Solve for x
    x = 19,111,956,516/91,396
  6. Step 6: Final answer
    x = 209,111.52

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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.