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Finding the Third Proportional to 253,026 and 543,567

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Solution

The third proportional to 253,026 and 543,567 is: 1,167,726.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,026 : 543,567 = 543,567 : x
  2. Step 2: Convert to fraction form
    253,026/543,567 = 543,567/x
  3. Step 3: Cross multiply
    253,026x = 543,567 × 543,567
  4. Step 4: Simplify right side
    253,026x = 295,465,083,489
  5. Step 5: Solve for x
    x = 295,465,083,489/253,026
  6. Step 6: Final answer
    x = 1,167,726.18

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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.