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Finding the Third Proportional to 280,180 and 420,558

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Solution

The third proportional to 280,180 and 420,558 is: 631,269.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,180 : 420,558 = 420,558 : x
  2. Step 2: Convert to fraction form
    280,180/420,558 = 420,558/x
  3. Step 3: Cross multiply
    280,180x = 420,558 × 420,558
  4. Step 4: Simplify right side
    280,180x = 176,869,031,364
  5. Step 5: Solve for x
    x = 176,869,031,364/280,180
  6. Step 6: Final answer
    x = 631,269.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.