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Finding the Third Proportional to 491,401.69 and 771,006.09

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Solution

The third proportional to 491,401.69 and 771,006.09 is: 1,209,703.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,401.69 : 771,006.09 = 771,006.09 : x
  2. Step 2: Convert to fraction form
    491,401.69/771,006.09 = 771,006.09/x
  3. Step 3: Cross multiply
    491,401.69x = 771,006.09 × 771,006.09
  4. Step 4: Simplify right side
    491,401.69x = 594,450,396,599.63
  5. Step 5: Solve for x
    x = 594,450,396,599.63/491,401.69
  6. Step 6: Final answer
    x = 1,209,703.61

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.