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Finding the Third Proportional to 280,303.50 and 385,645.50

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Solution

The third proportional to 280,303.50 and 385,645.50 is: 530,576.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,303.50 : 385,645.50 = 385,645.50 : x
  2. Step 2: Convert to fraction form
    280,303.50/385,645.50 = 385,645.50/x
  3. Step 3: Cross multiply
    280,303.50x = 385,645.50 × 385,645.50
  4. Step 4: Simplify right side
    280,303.50x = 148,722,451,670.25
  5. Step 5: Solve for x
    x = 148,722,451,670.25/280,303.50
  6. Step 6: Final answer
    x = 530,576.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.