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Finding the Third Proportional to 86,074 and 126,284

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Solution

The third proportional to 86,074 and 126,284 is: 185,278.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,074 : 126,284 = 126,284 : x
  2. Step 2: Convert to fraction form
    86,074/126,284 = 126,284/x
  3. Step 3: Cross multiply
    86,074x = 126,284 × 126,284
  4. Step 4: Simplify right side
    86,074x = 15,947,648,656
  5. Step 5: Solve for x
    x = 15,947,648,656/86,074
  6. Step 6: Final answer
    x = 185,278.35

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.