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Finding the Third Proportional to 280,404.56 and 423,951.47

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Solution

The third proportional to 280,404.56 and 423,951.47 is: 640,984.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,404.56 : 423,951.47 = 423,951.47 : x
  2. Step 2: Convert to fraction form
    280,404.56/423,951.47 = 423,951.47/x
  3. Step 3: Cross multiply
    280,404.56x = 423,951.47 × 423,951.47
  4. Step 4: Simplify right side
    280,404.56x = 179,734,847,855.28
  5. Step 5: Solve for x
    x = 179,734,847,855.28/280,404.56
  6. Step 6: Final answer
    x = 640,984.03

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.