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Finding the Third Proportional to 121,666.50 and 162,747

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Solution

The third proportional to 121,666.50 and 162,747 is: 217,698.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,666.50 : 162,747 = 162,747 : x
  2. Step 2: Convert to fraction form
    121,666.50/162,747 = 162,747/x
  3. Step 3: Cross multiply
    121,666.50x = 162,747 × 162,747
  4. Step 4: Simplify right side
    121,666.50x = 26,486,586,009
  5. Step 5: Solve for x
    x = 26,486,586,009/121,666.50
  6. Step 6: Final answer
    x = 217,698.27

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.