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Finding the Third Proportional to 86,599.50 and 137,903.25

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Solution

The third proportional to 86,599.50 and 137,903.25 is: 219,600.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,599.50 : 137,903.25 = 137,903.25 : x
  2. Step 2: Convert to fraction form
    86,599.50/137,903.25 = 137,903.25/x
  3. Step 3: Cross multiply
    86,599.50x = 137,903.25 × 137,903.25
  4. Step 4: Simplify right side
    86,599.50x = 19,017,306,360.56
  5. Step 5: Solve for x
    x = 19,017,306,360.56/86,599.50
  6. Step 6: Final answer
    x = 219,600.65

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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.