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Finding the Third Proportional to 155,967.75 and 217,309.50

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Solution

The third proportional to 155,967.75 and 217,309.50 is: 302,776.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,967.75 : 217,309.50 = 217,309.50 : x
  2. Step 2: Convert to fraction form
    155,967.75/217,309.50 = 217,309.50/x
  3. Step 3: Cross multiply
    155,967.75x = 217,309.50 × 217,309.50
  4. Step 4: Simplify right side
    155,967.75x = 47,223,418,790.25
  5. Step 5: Solve for x
    x = 47,223,418,790.25/155,967.75
  6. Step 6: Final answer
    x = 302,776.82

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.