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Finding the Third Proportional to 223,686.50 and 338,787.25

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Solution

The third proportional to 223,686.50 and 338,787.25 is: 513,114.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,686.50 : 338,787.25 = 338,787.25 : x
  2. Step 2: Convert to fraction form
    223,686.50/338,787.25 = 338,787.25/x
  3. Step 3: Cross multiply
    223,686.50x = 338,787.25 × 338,787.25
  4. Step 4: Simplify right side
    223,686.50x = 114,776,800,762.56
  5. Step 5: Solve for x
    x = 114,776,800,762.56/223,686.50
  6. Step 6: Final answer
    x = 513,114.56

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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.