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Finding the Third Proportional to 45,120 and 99,240

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Solution

The third proportional to 45,120 and 99,240 is: 218,275.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,120 : 99,240 = 99,240 : x
  2. Step 2: Convert to fraction form
    45,120/99,240 = 99,240/x
  3. Step 3: Cross multiply
    45,120x = 99,240 × 99,240
  4. Step 4: Simplify right side
    45,120x = 9,848,577,600
  5. Step 5: Solve for x
    x = 9,848,577,600/45,120
  6. Step 6: Final answer
    x = 218,275.21

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.