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Finding the Third Proportional to 306,711 and 439,033.50

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Solution

The third proportional to 306,711 and 439,033.50 is: 628,443.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,711 : 439,033.50 = 439,033.50 : x
  2. Step 2: Convert to fraction form
    306,711/439,033.50 = 439,033.50/x
  3. Step 3: Cross multiply
    306,711x = 439,033.50 × 439,033.50
  4. Step 4: Simplify right side
    306,711x = 192,750,414,122.25
  5. Step 5: Solve for x
    x = 192,750,414,122.25/306,711
  6. Step 6: Final answer
    x = 628,443.11

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.