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Finding the Third Proportional to 143,559 and 294,282

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Solution

The third proportional to 143,559 and 294,282 is: 603,249.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,559 : 294,282 = 294,282 : x
  2. Step 2: Convert to fraction form
    143,559/294,282 = 294,282/x
  3. Step 3: Cross multiply
    143,559x = 294,282 × 294,282
  4. Step 4: Simplify right side
    143,559x = 86,601,895,524
  5. Step 5: Solve for x
    x = 86,601,895,524/143,559
  6. Step 6: Final answer
    x = 603,249.50

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.