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Finding the Third Proportional to 260,008.31 and 399,474.28

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Solution

The third proportional to 260,008.31 and 399,474.28 is: 613,748.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,008.31 : 399,474.28 = 399,474.28 : x
  2. Step 2: Convert to fraction form
    260,008.31/399,474.28 = 399,474.28/x
  3. Step 3: Cross multiply
    260,008.31x = 399,474.28 × 399,474.28
  4. Step 4: Simplify right side
    260,008.31x = 159,579,701,380.20
  5. Step 5: Solve for x
    x = 159,579,701,380.20/260,008.31
  6. Step 6: Final answer
    x = 613,748.46

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.