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Finding the Third Proportional to 7,000,519.50 and 11,431,147.50

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Solution

The third proportional to 7,000,519.50 and 11,431,147.50 is: 18,665,919.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,000,519.50 : 11,431,147.50 = 11,431,147.50 : x
  2. Step 2: Convert to fraction form
    7,000,519.50/11,431,147.50 = 11,431,147.50/x
  3. Step 3: Cross multiply
    7,000,519.50x = 11,431,147.50 × 11,431,147.50
  4. Step 4: Simplify right side
    7,000,519.50x = 130,671,133,166,756.25
  5. Step 5: Solve for x
    x = 130,671,133,166,756.25/7,000,519.50
  6. Step 6: Final answer
    x = 18,665,919.46

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.