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Finding the Third Proportional to 81,397 and 174,475

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Solution

The third proportional to 81,397 and 174,475 is: 373,988.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,397 : 174,475 = 174,475 : x
  2. Step 2: Convert to fraction form
    81,397/174,475 = 174,475/x
  3. Step 3: Cross multiply
    81,397x = 174,475 × 174,475
  4. Step 4: Simplify right side
    81,397x = 30,441,525,625
  5. Step 5: Solve for x
    x = 30,441,525,625/81,397
  6. Step 6: Final answer
    x = 373,988.30

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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.