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Finding the Third Proportional to 228,987 and 335,277

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Solution

The third proportional to 228,987 and 335,277 is: 490,904.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,987 : 335,277 = 335,277 : x
  2. Step 2: Convert to fraction form
    228,987/335,277 = 335,277/x
  3. Step 3: Cross multiply
    228,987x = 335,277 × 335,277
  4. Step 4: Simplify right side
    228,987x = 112,410,666,729
  5. Step 5: Solve for x
    x = 112,410,666,729/228,987
  6. Step 6: Final answer
    x = 490,904.14

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.