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Finding the Third Proportional to 99,778 and 149,669

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Solution

The third proportional to 99,778 and 149,669 is: 224,506.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,778 : 149,669 = 149,669 : x
  2. Step 2: Convert to fraction form
    99,778/149,669 = 149,669/x
  3. Step 3: Cross multiply
    99,778x = 149,669 × 149,669
  4. Step 4: Simplify right side
    99,778x = 22,400,809,561
  5. Step 5: Solve for x
    x = 22,400,809,561/99,778
  6. Step 6: Final answer
    x = 224,506.50

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Why These Related Problems?

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