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Finding the Third Proportional to 543,423 and 1,191,821

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Solution

The third proportional to 543,423 and 1,191,821 is: 2,613,870.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,423 : 1,191,821 = 1,191,821 : x
  2. Step 2: Convert to fraction form
    543,423/1,191,821 = 1,191,821/x
  3. Step 3: Cross multiply
    543,423x = 1,191,821 × 1,191,821
  4. Step 4: Simplify right side
    543,423x = 1,420,437,296,041
  5. Step 5: Solve for x
    x = 1,420,437,296,041/543,423
  6. Step 6: Final answer
    x = 2,613,870.40

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.