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Finding the Third Proportional to 91,459.13 and 138,950.44

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Solution

The third proportional to 91,459.13 and 138,950.44 is: 211,102.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,459.13 : 138,950.44 = 138,950.44 : x
  2. Step 2: Convert to fraction form
    91,459.13/138,950.44 = 138,950.44/x
  3. Step 3: Cross multiply
    91,459.13x = 138,950.44 × 138,950.44
  4. Step 4: Simplify right side
    91,459.13x = 19,307,224,081.44
  5. Step 5: Solve for x
    x = 19,307,224,081.44/91,459.13
  6. Step 6: Final answer
    x = 211,102.22

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.