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Finding the Third Proportional to 221,851.50 and 485,685

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Solution

The third proportional to 221,851.50 and 485,685 is: 1,063,278.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,851.50 : 485,685 = 485,685 : x
  2. Step 2: Convert to fraction form
    221,851.50/485,685 = 485,685/x
  3. Step 3: Cross multiply
    221,851.50x = 485,685 × 485,685
  4. Step 4: Simplify right side
    221,851.50x = 235,889,919,225
  5. Step 5: Solve for x
    x = 235,889,919,225/221,851.50
  6. Step 6: Final answer
    x = 1,063,278.45

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.