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Finding the Third Proportional to 4,917.90 and 7,821.09

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Solution

The third proportional to 4,917.90 and 7,821.09 is: 12,438.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,917.90 : 7,821.09 = 7,821.09 : x
  2. Step 2: Convert to fraction form
    4,917.90/7,821.09 = 7,821.09/x
  3. Step 3: Cross multiply
    4,917.90x = 7,821.09 × 7,821.09
  4. Step 4: Simplify right side
    4,917.90x = 61,169,415.79
  5. Step 5: Solve for x
    x = 61,169,415.79/4,917.90
  6. Step 6: Final answer
    x = 12,438.11

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.