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Finding the Third Proportional to 99,748.50 and 140,294

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Solution

The third proportional to 99,748.50 and 140,294 is: 197,320.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,748.50 : 140,294 = 140,294 : x
  2. Step 2: Convert to fraction form
    99,748.50/140,294 = 140,294/x
  3. Step 3: Cross multiply
    99,748.50x = 140,294 × 140,294
  4. Step 4: Simplify right side
    99,748.50x = 19,682,406,436
  5. Step 5: Solve for x
    x = 19,682,406,436/99,748.50
  6. Step 6: Final answer
    x = 197,320.32

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.