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Finding the Third Proportional to 635,479.50 and 981,407.25

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Solution

The third proportional to 635,479.50 and 981,407.25 is: 1,515,643.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    635,479.50 : 981,407.25 = 981,407.25 : x
  2. Step 2: Convert to fraction form
    635,479.50/981,407.25 = 981,407.25/x
  3. Step 3: Cross multiply
    635,479.50x = 981,407.25 × 981,407.25
  4. Step 4: Simplify right side
    635,479.50x = 963,160,190,352.56
  5. Step 5: Solve for x
    x = 963,160,190,352.56/635,479.50
  6. Step 6: Final answer
    x = 1,515,643.21

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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.