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Finding the Third Proportional to 81,122 and 174,316

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Solution

The third proportional to 81,122 and 174,316 is: 374,572.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,122 : 174,316 = 174,316 : x
  2. Step 2: Convert to fraction form
    81,122/174,316 = 174,316/x
  3. Step 3: Cross multiply
    81,122x = 174,316 × 174,316
  4. Step 4: Simplify right side
    81,122x = 30,386,067,856
  5. Step 5: Solve for x
    x = 30,386,067,856/81,122
  6. Step 6: Final answer
    x = 374,572.47

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.