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Finding the Third Proportional to 221,433 and 312,036

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Solution

The third proportional to 221,433 and 312,036 is: 439,710.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,433 : 312,036 = 312,036 : x
  2. Step 2: Convert to fraction form
    221,433/312,036 = 312,036/x
  3. Step 3: Cross multiply
    221,433x = 312,036 × 312,036
  4. Step 4: Simplify right side
    221,433x = 97,366,465,296
  5. Step 5: Solve for x
    x = 97,366,465,296/221,433
  6. Step 6: Final answer
    x = 439,710.73

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.