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Finding the Third Proportional to 86,693 and 136,030

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Solution

The third proportional to 86,693 and 136,030 is: 213,444.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,693 : 136,030 = 136,030 : x
  2. Step 2: Convert to fraction form
    86,693/136,030 = 136,030/x
  3. Step 3: Cross multiply
    86,693x = 136,030 × 136,030
  4. Step 4: Simplify right side
    86,693x = 18,504,160,900
  5. Step 5: Solve for x
    x = 18,504,160,900/86,693
  6. Step 6: Final answer
    x = 213,444.69

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.