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Finding the Third Proportional to 306,517.50 and 668,208

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Solution

The third proportional to 306,517.50 and 668,208 is: 1,456,693.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,517.50 : 668,208 = 668,208 : x
  2. Step 2: Convert to fraction form
    306,517.50/668,208 = 668,208/x
  3. Step 3: Cross multiply
    306,517.50x = 668,208 × 668,208
  4. Step 4: Simplify right side
    306,517.50x = 446,501,931,264
  5. Step 5: Solve for x
    x = 446,501,931,264/306,517.50
  6. Step 6: Final answer
    x = 1,456,693.11

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.