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Finding the Third Proportional to 7,816,522.78 and 16,978,631.06

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Solution

The third proportional to 7,816,522.78 and 16,978,631.06 is: 36,880,070.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,816,522.78 : 16,978,631.06 = 16,978,631.06 : x
  2. Step 2: Convert to fraction form
    7,816,522.78/16,978,631.06 = 16,978,631.06/x
  3. Step 3: Cross multiply
    7,816,522.78x = 16,978,631.06 × 16,978,631.06
  4. Step 4: Simplify right side
    7,816,522.78x = 288,273,912,756,489.88
  5. Step 5: Solve for x
    x = 288,273,912,756,489.88/7,816,522.78
  6. Step 6: Final answer
    x = 36,880,070.69

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.