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Finding the Third Proportional to 86,301 and 137,378.25

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Solution

The third proportional to 86,301 and 137,378.25 is: 218,685.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,301 : 137,378.25 = 137,378.25 : x
  2. Step 2: Convert to fraction form
    86,301/137,378.25 = 137,378.25/x
  3. Step 3: Cross multiply
    86,301x = 137,378.25 × 137,378.25
  4. Step 4: Simplify right side
    86,301x = 18,872,783,573.06
  5. Step 5: Solve for x
    x = 18,872,783,573.06/86,301
  6. Step 6: Final answer
    x = 218,685.57

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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.