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Finding the Third Proportional to 92,309 and 138,310

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Solution

The third proportional to 92,309 and 138,310 is: 207,235.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,309 : 138,310 = 138,310 : x
  2. Step 2: Convert to fraction form
    92,309/138,310 = 138,310/x
  3. Step 3: Cross multiply
    92,309x = 138,310 × 138,310
  4. Step 4: Simplify right side
    92,309x = 19,129,656,100
  5. Step 5: Solve for x
    x = 19,129,656,100/92,309
  6. Step 6: Final answer
    x = 207,235.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.