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Finding the Third Proportional to 86,811.75 and 176,038.31

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Solution

The third proportional to 86,811.75 and 176,038.31 is: 356,973.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,811.75 : 176,038.31 = 176,038.31 : x
  2. Step 2: Convert to fraction form
    86,811.75/176,038.31 = 176,038.31/x
  3. Step 3: Cross multiply
    86,811.75x = 176,038.31 × 176,038.31
  4. Step 4: Simplify right side
    86,811.75x = 30,989,487,467.85
  5. Step 5: Solve for x
    x = 30,989,487,467.85/86,811.75
  6. Step 6: Final answer
    x = 356,973.42

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.