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Finding the Third Proportional to 260,275.78 and 393,694.17

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Solution

The third proportional to 260,275.78 and 393,694.17 is: 595,503.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,275.78 : 393,694.17 = 393,694.17 : x
  2. Step 2: Convert to fraction form
    260,275.78/393,694.17 = 393,694.17/x
  3. Step 3: Cross multiply
    260,275.78x = 393,694.17 × 393,694.17
  4. Step 4: Simplify right side
    260,275.78x = 154,995,100,968.34
  5. Step 5: Solve for x
    x = 154,995,100,968.34/260,275.78
  6. Step 6: Final answer
    x = 595,503.36

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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.