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Finding the Third Proportional to 42,120 and 92,160

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Solution

The third proportional to 42,120 and 92,160 is: 201,649.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,120 : 92,160 = 92,160 : x
  2. Step 2: Convert to fraction form
    42,120/92,160 = 92,160/x
  3. Step 3: Cross multiply
    42,120x = 92,160 × 92,160
  4. Step 4: Simplify right side
    42,120x = 8,493,465,600
  5. Step 5: Solve for x
    x = 8,493,465,600/42,120
  6. Step 6: Final answer
    x = 201,649.23

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.