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Finding the Third Proportional to 86,248 and 137,148

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Solution

The third proportional to 86,248 and 137,148 is: 218,087.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,248 : 137,148 = 137,148 : x
  2. Step 2: Convert to fraction form
    86,248/137,148 = 137,148/x
  3. Step 3: Cross multiply
    86,248x = 137,148 × 137,148
  4. Step 4: Simplify right side
    86,248x = 18,809,573,904
  5. Step 5: Solve for x
    x = 18,809,573,904/86,248
  6. Step 6: Final answer
    x = 218,087.07

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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.