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Finding the Third Proportional to 211,244 and 315,798

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Solution

The third proportional to 211,244 and 315,798 is: 472,100.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,244 : 315,798 = 315,798 : x
  2. Step 2: Convert to fraction form
    211,244/315,798 = 315,798/x
  3. Step 3: Cross multiply
    211,244x = 315,798 × 315,798
  4. Step 4: Simplify right side
    211,244x = 99,728,376,804
  5. Step 5: Solve for x
    x = 99,728,376,804/211,244
  6. Step 6: Final answer
    x = 472,100.40

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.