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Finding the Third Proportional to 86,478 and 186,297

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Solution

The third proportional to 86,478 and 186,297 is: 401,334.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,478 : 186,297 = 186,297 : x
  2. Step 2: Convert to fraction form
    86,478/186,297 = 186,297/x
  3. Step 3: Cross multiply
    86,478x = 186,297 × 186,297
  4. Step 4: Simplify right side
    86,478x = 34,706,572,209
  5. Step 5: Solve for x
    x = 34,706,572,209/86,478
  6. Step 6: Final answer
    x = 401,334.12

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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.