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Finding the Third Proportional to 74,200 and 174,981

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Solution

The third proportional to 74,200 and 174,981 is: 412,646.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,200 : 174,981 = 174,981 : x
  2. Step 2: Convert to fraction form
    74,200/174,981 = 174,981/x
  3. Step 3: Cross multiply
    74,200x = 174,981 × 174,981
  4. Step 4: Simplify right side
    74,200x = 30,618,350,361
  5. Step 5: Solve for x
    x = 30,618,350,361/74,200
  6. Step 6: Final answer
    x = 412,646.23

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.