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Finding the Third Proportional to 5,777,284.50 and 8,940,780

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Solution

The third proportional to 5,777,284.50 and 8,940,780 is: 13,836,525.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,777,284.50 : 8,940,780 = 8,940,780 : x
  2. Step 2: Convert to fraction form
    5,777,284.50/8,940,780 = 8,940,780/x
  3. Step 3: Cross multiply
    5,777,284.50x = 8,940,780 × 8,940,780
  4. Step 4: Simplify right side
    5,777,284.50x = 79,937,547,008,400
  5. Step 5: Solve for x
    x = 79,937,547,008,400/5,777,284.50
  6. Step 6: Final answer
    x = 13,836,525.97

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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.