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Finding the Third Proportional to 100,574 and 149,120

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Solution

The third proportional to 100,574 and 149,120 is: 221,098.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,574 : 149,120 = 149,120 : x
  2. Step 2: Convert to fraction form
    100,574/149,120 = 149,120/x
  3. Step 3: Cross multiply
    100,574x = 149,120 × 149,120
  4. Step 4: Simplify right side
    100,574x = 22,236,774,400
  5. Step 5: Solve for x
    x = 22,236,774,400/100,574
  6. Step 6: Final answer
    x = 221,098.64

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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.