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Finding the Third Proportional to 228,368 and 351,288

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Solution

The third proportional to 228,368 and 351,288 is: 540,370.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,368 : 351,288 = 351,288 : x
  2. Step 2: Convert to fraction form
    228,368/351,288 = 351,288/x
  3. Step 3: Cross multiply
    228,368x = 351,288 × 351,288
  4. Step 4: Simplify right side
    228,368x = 123,403,258,944
  5. Step 5: Solve for x
    x = 123,403,258,944/228,368
  6. Step 6: Final answer
    x = 540,370.19

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.