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Finding the Third Proportional to 319,718 and 699,545

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Solution

The third proportional to 319,718 and 699,545 is: 1,530,608.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,718 : 699,545 = 699,545 : x
  2. Step 2: Convert to fraction form
    319,718/699,545 = 699,545/x
  3. Step 3: Cross multiply
    319,718x = 699,545 × 699,545
  4. Step 4: Simplify right side
    319,718x = 489,363,207,025
  5. Step 5: Solve for x
    x = 489,363,207,025/319,718
  6. Step 6: Final answer
    x = 1,530,608.87

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.