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Finding the Third Proportional to 91,426 and 138,115

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Solution

The third proportional to 91,426 and 138,115 is: 208,646.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,426 : 138,115 = 138,115 : x
  2. Step 2: Convert to fraction form
    91,426/138,115 = 138,115/x
  3. Step 3: Cross multiply
    91,426x = 138,115 × 138,115
  4. Step 4: Simplify right side
    91,426x = 19,075,753,225
  5. Step 5: Solve for x
    x = 19,075,753,225/91,426
  6. Step 6: Final answer
    x = 208,646.92

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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.