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Finding the Third Proportional to 728,514 and 1,085,298.75

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Solution

The third proportional to 728,514 and 1,085,298.75 is: 1,616,816.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    728,514 : 1,085,298.75 = 1,085,298.75 : x
  2. Step 2: Convert to fraction form
    728,514/1,085,298.75 = 1,085,298.75/x
  3. Step 3: Cross multiply
    728,514x = 1,085,298.75 × 1,085,298.75
  4. Step 4: Simplify right side
    728,514x = 1,177,873,376,751.56
  5. Step 5: Solve for x
    x = 1,177,873,376,751.56/728,514
  6. Step 6: Final answer
    x = 1,616,816.39

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.