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Finding the Third Proportional to 788,205 and 1,639,311

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Solution

The third proportional to 788,205 and 1,639,311 is: 3,409,443.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    788,205 : 1,639,311 = 1,639,311 : x
  2. Step 2: Convert to fraction form
    788,205/1,639,311 = 1,639,311/x
  3. Step 3: Cross multiply
    788,205x = 1,639,311 × 1,639,311
  4. Step 4: Simplify right side
    788,205x = 2,687,340,554,721
  5. Step 5: Solve for x
    x = 2,687,340,554,721/788,205
  6. Step 6: Final answer
    x = 3,409,443.68

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.