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Finding the Third Proportional to 100,459 and 137,749.50

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Solution

The third proportional to 100,459 and 137,749.50 is: 188,882.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,459 : 137,749.50 = 137,749.50 : x
  2. Step 2: Convert to fraction form
    100,459/137,749.50 = 137,749.50/x
  3. Step 3: Cross multiply
    100,459x = 137,749.50 × 137,749.50
  4. Step 4: Simplify right side
    100,459x = 18,974,924,750.25
  5. Step 5: Solve for x
    x = 18,974,924,750.25/100,459
  6. Step 6: Final answer
    x = 188,882.28

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.