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Finding the Third Proportional to 306,202.50 and 400,252.50

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Solution

The third proportional to 306,202.50 and 400,252.50 is: 523,189.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,202.50 : 400,252.50 = 400,252.50 : x
  2. Step 2: Convert to fraction form
    306,202.50/400,252.50 = 400,252.50/x
  3. Step 3: Cross multiply
    306,202.50x = 400,252.50 × 400,252.50
  4. Step 4: Simplify right side
    306,202.50x = 160,202,063,756.25
  5. Step 5: Solve for x
    x = 160,202,063,756.25/306,202.50
  6. Step 6: Final answer
    x = 523,189.93

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.