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Finding the Third Proportional to 305,680.88 and 719,254.31

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Solution

The third proportional to 305,680.88 and 719,254.31 is: 1,692,375.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,680.88 : 719,254.31 = 719,254.31 : x
  2. Step 2: Convert to fraction form
    305,680.88/719,254.31 = 719,254.31/x
  3. Step 3: Cross multiply
    305,680.88x = 719,254.31 × 719,254.31
  4. Step 4: Simplify right side
    305,680.88x = 517,326,766,049.85
  5. Step 5: Solve for x
    x = 517,326,766,049.85/305,680.88
  6. Step 6: Final answer
    x = 1,692,375.31

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.