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Finding the Third Proportional to 228,386 and 351,315

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Solution

The third proportional to 228,386 and 351,315 is: 540,410.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,386 : 351,315 = 351,315 : x
  2. Step 2: Convert to fraction form
    228,386/351,315 = 351,315/x
  3. Step 3: Cross multiply
    228,386x = 351,315 × 351,315
  4. Step 4: Simplify right side
    228,386x = 123,422,229,225
  5. Step 5: Solve for x
    x = 123,422,229,225/228,386
  6. Step 6: Final answer
    x = 540,410.66

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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.