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Finding the Third Proportional to 280,964.50 and 419,784.50

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Solution

The third proportional to 280,964.50 and 419,784.50 is: 627,193.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,964.50 : 419,784.50 = 419,784.50 : x
  2. Step 2: Convert to fraction form
    280,964.50/419,784.50 = 419,784.50/x
  3. Step 3: Cross multiply
    280,964.50x = 419,784.50 × 419,784.50
  4. Step 4: Simplify right side
    280,964.50x = 176,219,026,440.25
  5. Step 5: Solve for x
    x = 176,219,026,440.25/280,964.50
  6. Step 6: Final answer
    x = 627,193.21

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.