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Finding the Third Proportional to 260,011.88 and 399,479.63

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Solution

The third proportional to 260,011.88 and 399,479.63 is: 613,756.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,011.88 : 399,479.63 = 399,479.63 : x
  2. Step 2: Convert to fraction form
    260,011.88/399,479.63 = 399,479.63/x
  3. Step 3: Cross multiply
    260,011.88x = 399,479.63 × 399,479.63
  4. Step 4: Simplify right side
    260,011.88x = 159,583,970,790.14
  5. Step 5: Solve for x
    x = 159,583,970,790.14/260,011.88
  6. Step 6: Final answer
    x = 613,756.47

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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.