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Finding the Third Proportional to 86,928.19 and 138,808.69

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Solution

The third proportional to 86,928.19 and 138,808.69 is: 221,652.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,928.19 : 138,808.69 = 138,808.69 : x
  2. Step 2: Convert to fraction form
    86,928.19/138,808.69 = 138,808.69/x
  3. Step 3: Cross multiply
    86,928.19x = 138,808.69 × 138,808.69
  4. Step 4: Simplify right side
    86,928.19x = 19,267,851,725.47
  5. Step 5: Solve for x
    x = 19,267,851,725.47/86,928.19
  6. Step 6: Final answer
    x = 221,652.52

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.