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Finding the Third Proportional to 81,398 and 174,478

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Solution

The third proportional to 81,398 and 174,478 is: 373,996.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,398 : 174,478 = 174,478 : x
  2. Step 2: Convert to fraction form
    81,398/174,478 = 174,478/x
  3. Step 3: Cross multiply
    81,398x = 174,478 × 174,478
  4. Step 4: Simplify right side
    81,398x = 30,442,572,484
  5. Step 5: Solve for x
    x = 30,442,572,484/81,398
  6. Step 6: Final answer
    x = 373,996.57

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.