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Finding the Third Proportional to 45,120 and 67,420

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Solution

The third proportional to 45,120 and 67,420 is: 100,741.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,120 : 67,420 = 67,420 : x
  2. Step 2: Convert to fraction form
    45,120/67,420 = 67,420/x
  3. Step 3: Cross multiply
    45,120x = 67,420 × 67,420
  4. Step 4: Simplify right side
    45,120x = 4,545,456,400
  5. Step 5: Solve for x
    x = 4,545,456,400/45,120
  6. Step 6: Final answer
    x = 100,741.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.