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Finding the Third Proportional to 305,682 and 719,256

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Solution

The third proportional to 305,682 and 719,256 is: 1,692,377.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,682 : 719,256 = 719,256 : x
  2. Step 2: Convert to fraction form
    305,682/719,256 = 719,256/x
  3. Step 3: Cross multiply
    305,682x = 719,256 × 719,256
  4. Step 4: Simplify right side
    305,682x = 517,329,193,536
  5. Step 5: Solve for x
    x = 517,329,193,536/305,682
  6. Step 6: Final answer
    x = 1,692,377.02

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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.