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Finding the Third Proportional to 86,985 and 134,406

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Solution

The third proportional to 86,985 and 134,406 is: 207,679.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,985 : 134,406 = 134,406 : x
  2. Step 2: Convert to fraction form
    86,985/134,406 = 134,406/x
  3. Step 3: Cross multiply
    86,985x = 134,406 × 134,406
  4. Step 4: Simplify right side
    86,985x = 18,064,972,836
  5. Step 5: Solve for x
    x = 18,064,972,836/86,985
  6. Step 6: Final answer
    x = 207,679.17

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.