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Finding the Third Proportional to 280,076.50 and 420,319.50

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Solution

The third proportional to 280,076.50 and 420,319.50 is: 630,786.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,076.50 : 420,319.50 = 420,319.50 : x
  2. Step 2: Convert to fraction form
    280,076.50/420,319.50 = 420,319.50/x
  3. Step 3: Cross multiply
    280,076.50x = 420,319.50 × 420,319.50
  4. Step 4: Simplify right side
    280,076.50x = 176,668,482,080.25
  5. Step 5: Solve for x
    x = 176,668,482,080.25/280,076.50
  6. Step 6: Final answer
    x = 630,786.52

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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.