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Finding the Third Proportional to 551,642 and 843,507

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Solution

The third proportional to 551,642 and 843,507 is: 1,289,793.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,642 : 843,507 = 843,507 : x
  2. Step 2: Convert to fraction form
    551,642/843,507 = 843,507/x
  3. Step 3: Cross multiply
    551,642x = 843,507 × 843,507
  4. Step 4: Simplify right side
    551,642x = 711,504,059,049
  5. Step 5: Solve for x
    x = 711,504,059,049/551,642
  6. Step 6: Final answer
    x = 1,289,793.12

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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.