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Finding the Third Proportional to 641,786 and 997,778

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Solution

The third proportional to 641,786 and 997,778 is: 1,551,235.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,786 : 997,778 = 997,778 : x
  2. Step 2: Convert to fraction form
    641,786/997,778 = 997,778/x
  3. Step 3: Cross multiply
    641,786x = 997,778 × 997,778
  4. Step 4: Simplify right side
    641,786x = 995,560,937,284
  5. Step 5: Solve for x
    x = 995,560,937,284/641,786
  6. Step 6: Final answer
    x = 1,551,235.05

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.