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Finding the Third Proportional to 86,712 and 186,360

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Solution

The third proportional to 86,712 and 186,360 is: 400,521.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,712 : 186,360 = 186,360 : x
  2. Step 2: Convert to fraction form
    86,712/186,360 = 186,360/x
  3. Step 3: Cross multiply
    86,712x = 186,360 × 186,360
  4. Step 4: Simplify right side
    86,712x = 34,730,049,600
  5. Step 5: Solve for x
    x = 34,730,049,600/86,712
  6. Step 6: Final answer
    x = 400,521.84

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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.