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Finding the Third Proportional to 543,147 and 821,709

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Solution

The third proportional to 543,147 and 821,709 is: 1,243,136.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,147 : 821,709 = 821,709 : x
  2. Step 2: Convert to fraction form
    543,147/821,709 = 821,709/x
  3. Step 3: Cross multiply
    543,147x = 821,709 × 821,709
  4. Step 4: Simplify right side
    543,147x = 675,205,680,681
  5. Step 5: Solve for x
    x = 675,205,680,681/543,147
  6. Step 6: Final answer
    x = 1,243,136.17

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.