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Finding the Third Proportional to 543,421 and 1,191,817

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Solution

The third proportional to 543,421 and 1,191,817 is: 2,613,862.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,421 : 1,191,817 = 1,191,817 : x
  2. Step 2: Convert to fraction form
    543,421/1,191,817 = 1,191,817/x
  3. Step 3: Cross multiply
    543,421x = 1,191,817 × 1,191,817
  4. Step 4: Simplify right side
    543,421x = 1,420,427,761,489
  5. Step 5: Solve for x
    x = 1,420,427,761,489/543,421
  6. Step 6: Final answer
    x = 2,613,862.48

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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.