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Finding the Third Proportional to 121,934 and 174,031

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Solution

The third proportional to 121,934 and 174,031 is: 248,386.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,934 : 174,031 = 174,031 : x
  2. Step 2: Convert to fraction form
    121,934/174,031 = 174,031/x
  3. Step 3: Cross multiply
    121,934x = 174,031 × 174,031
  4. Step 4: Simplify right side
    121,934x = 30,286,788,961
  5. Step 5: Solve for x
    x = 30,286,788,961/121,934
  6. Step 6: Final answer
    x = 248,386.74

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.