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Finding the Third Proportional to 86,298.19 and 178,587.56

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Solution

The third proportional to 86,298.19 and 178,587.56 is: 369,573.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,298.19 : 178,587.56 = 178,587.56 : x
  2. Step 2: Convert to fraction form
    86,298.19/178,587.56 = 178,587.56/x
  3. Step 3: Cross multiply
    86,298.19x = 178,587.56 × 178,587.56
  4. Step 4: Simplify right side
    86,298.19x = 31,893,517,479.69
  5. Step 5: Solve for x
    x = 31,893,517,479.69/86,298.19
  6. Step 6: Final answer
    x = 369,573.43

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.