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Finding the Third Proportional to 86,538.38 and 137,219.06

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Solution

The third proportional to 86,538.38 and 137,219.06 is: 217,580.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,538.38 : 137,219.06 = 137,219.06 : x
  2. Step 2: Convert to fraction form
    86,538.38/137,219.06 = 137,219.06/x
  3. Step 3: Cross multiply
    86,538.38x = 137,219.06 × 137,219.06
  4. Step 4: Simplify right side
    86,538.38x = 18,829,071,113.38
  5. Step 5: Solve for x
    x = 18,829,071,113.38/86,538.38
  6. Step 6: Final answer
    x = 217,580.59

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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.