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Finding the Third Proportional to 280,458 and 569,556

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Solution

The third proportional to 280,458 and 569,556 is: 1,156,658.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,458 : 569,556 = 569,556 : x
  2. Step 2: Convert to fraction form
    280,458/569,556 = 569,556/x
  3. Step 3: Cross multiply
    280,458x = 569,556 × 569,556
  4. Step 4: Simplify right side
    280,458x = 324,394,037,136
  5. Step 5: Solve for x
    x = 324,394,037,136/280,458
  6. Step 6: Final answer
    x = 1,156,658.17

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.