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Finding the Third Proportional to 728,520 and 1,085,307

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Solution

The third proportional to 728,520 and 1,085,307 is: 1,616,827.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    728,520 : 1,085,307 = 1,085,307 : x
  2. Step 2: Convert to fraction form
    728,520/1,085,307 = 1,085,307/x
  3. Step 3: Cross multiply
    728,520x = 1,085,307 × 1,085,307
  4. Step 4: Simplify right side
    728,520x = 1,177,891,284,249
  5. Step 5: Solve for x
    x = 1,177,891,284,249/728,520
  6. Step 6: Final answer
    x = 1,616,827.66

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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.