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Finding the Third Proportional to 551,643 and 843,519

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Solution

The third proportional to 551,643 and 843,519 is: 1,289,827.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,643 : 843,519 = 843,519 : x
  2. Step 2: Convert to fraction form
    551,643/843,519 = 843,519/x
  3. Step 3: Cross multiply
    551,643x = 843,519 × 843,519
  4. Step 4: Simplify right side
    551,643x = 711,524,303,361
  5. Step 5: Solve for x
    x = 711,524,303,361/551,643
  6. Step 6: Final answer
    x = 1,289,827.49

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.