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Finding the Third Proportional to 280,072.69 and 420,314.06

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Solution

The third proportional to 280,072.69 and 420,314.06 is: 630,778.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,072.69 : 420,314.06 = 420,314.06 : x
  2. Step 2: Convert to fraction form
    280,072.69/420,314.06 = 420,314.06/x
  3. Step 3: Cross multiply
    280,072.69x = 420,314.06 × 420,314.06
  4. Step 4: Simplify right side
    280,072.69x = 176,663,911,135.25
  5. Step 5: Solve for x
    x = 176,663,911,135.25/280,072.69
  6. Step 6: Final answer
    x = 630,778.79

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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.