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Finding the Third Proportional to 360,877.78 and 781,305.75

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Solution

The third proportional to 360,877.78 and 781,305.75 is: 1,691,538.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,877.78 : 781,305.75 = 781,305.75 : x
  2. Step 2: Convert to fraction form
    360,877.78/781,305.75 = 781,305.75/x
  3. Step 3: Cross multiply
    360,877.78x = 781,305.75 × 781,305.75
  4. Step 4: Simplify right side
    360,877.78x = 610,438,674,983.06
  5. Step 5: Solve for x
    x = 610,438,674,983.06/360,877.78
  6. Step 6: Final answer
    x = 1,691,538.54

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.