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Finding the Third Proportional to 86,178 and 126,429

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Solution

The third proportional to 86,178 and 126,429 is: 185,479.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,178 : 126,429 = 126,429 : x
  2. Step 2: Convert to fraction form
    86,178/126,429 = 126,429/x
  3. Step 3: Cross multiply
    86,178x = 126,429 × 126,429
  4. Step 4: Simplify right side
    86,178x = 15,984,292,041
  5. Step 5: Solve for x
    x = 15,984,292,041/86,178
  6. Step 6: Final answer
    x = 185,479.96

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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.