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Finding the Third Proportional to 86,407 and 127,072

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Solution

The third proportional to 86,407 and 127,072 is: 186,874.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,407 : 127,072 = 127,072 : x
  2. Step 2: Convert to fraction form
    86,407/127,072 = 127,072/x
  3. Step 3: Cross multiply
    86,407x = 127,072 × 127,072
  4. Step 4: Simplify right side
    86,407x = 16,147,293,184
  5. Step 5: Solve for x
    x = 16,147,293,184/86,407
  6. Step 6: Final answer
    x = 186,874.83

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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.