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Finding the Third Proportional to 147,780.50 and 223,222.75

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Solution

The third proportional to 147,780.50 and 223,222.75 is: 337,178.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,780.50 : 223,222.75 = 223,222.75 : x
  2. Step 2: Convert to fraction form
    147,780.50/223,222.75 = 223,222.75/x
  3. Step 3: Cross multiply
    147,780.50x = 223,222.75 × 223,222.75
  4. Step 4: Simplify right side
    147,780.50x = 49,828,396,117.56
  5. Step 5: Solve for x
    x = 49,828,396,117.56/147,780.50
  6. Step 6: Final answer
    x = 337,178.42

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.