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Finding the Third Proportional to 3,630,647.81 and 7,821,463.78

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Solution

The third proportional to 3,630,647.81 and 7,821,463.78 is: 16,849,691.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,630,647.81 : 7,821,463.78 = 7,821,463.78 : x
  2. Step 2: Convert to fraction form
    3,630,647.81/7,821,463.78 = 7,821,463.78/x
  3. Step 3: Cross multiply
    3,630,647.81x = 7,821,463.78 × 7,821,463.78
  4. Step 4: Simplify right side
    3,630,647.81x = 61,175,295,681,405.55
  5. Step 5: Solve for x
    x = 61,175,295,681,405.55/3,630,647.81
  6. Step 6: Final answer
    x = 16,849,691.53

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.