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Finding the Third Proportional to 100,561.78 and 149,103.28

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Solution

The third proportional to 100,561.78 and 149,103.28 is: 221,075.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,561.78 : 149,103.28 = 149,103.28 : x
  2. Step 2: Convert to fraction form
    100,561.78/149,103.28 = 149,103.28/x
  3. Step 3: Cross multiply
    100,561.78x = 149,103.28 × 149,103.28
  4. Step 4: Simplify right side
    100,561.78x = 22,231,788,479.52
  5. Step 5: Solve for x
    x = 22,231,788,479.52/100,561.78
  6. Step 6: Final answer
    x = 221,075.92

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.