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Finding the Third Proportional to 86,951 and 138,208.50

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Solution

The third proportional to 86,951 and 138,208.50 is: 219,682.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,951 : 138,208.50 = 138,208.50 : x
  2. Step 2: Convert to fraction form
    86,951/138,208.50 = 138,208.50/x
  3. Step 3: Cross multiply
    86,951x = 138,208.50 × 138,208.50
  4. Step 4: Simplify right side
    86,951x = 19,101,589,472.25
  5. Step 5: Solve for x
    x = 19,101,589,472.25/86,951
  6. Step 6: Final answer
    x = 219,682.23

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.