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Finding the Third Proportional to 815,684.34 and 1,222,960.78

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Solution

The third proportional to 815,684.34 and 1,222,960.78 is: 1,833,592.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    815,684.34 : 1,222,960.78 = 1,222,960.78 : x
  2. Step 2: Convert to fraction form
    815,684.34/1,222,960.78 = 1,222,960.78/x
  3. Step 3: Cross multiply
    815,684.34x = 1,222,960.78 × 1,222,960.78
  4. Step 4: Simplify right side
    815,684.34x = 1,495,633,072,475.61
  5. Step 5: Solve for x
    x = 1,495,633,072,475.61/815,684.34
  6. Step 6: Final answer
    x = 1,833,592.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.