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Finding the Third Proportional to 4,778 and 7,907

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Solution

The third proportional to 4,778 and 7,907 is: 13,085.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,778 : 7,907 = 7,907 : x
  2. Step 2: Convert to fraction form
    4,778/7,907 = 7,907/x
  3. Step 3: Cross multiply
    4,778x = 7,907 × 7,907
  4. Step 4: Simplify right side
    4,778x = 62,520,649
  5. Step 5: Solve for x
    x = 62,520,649/4,778
  6. Step 6: Final answer
    x = 13,085.11

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.