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Finding the Third Proportional to 280,396.50 and 423,939.75

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Solution

The third proportional to 280,396.50 and 423,939.75 is: 640,967.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,396.50 : 423,939.75 = 423,939.75 : x
  2. Step 2: Convert to fraction form
    280,396.50/423,939.75 = 423,939.75/x
  3. Step 3: Cross multiply
    280,396.50x = 423,939.75 × 423,939.75
  4. Step 4: Simplify right side
    280,396.50x = 179,724,911,630.06
  5. Step 5: Solve for x
    x = 179,724,911,630.06/280,396.50
  6. Step 6: Final answer
    x = 640,967.03

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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.