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Finding the Third Proportional to 115,908 and 253,964

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Solution

The third proportional to 115,908 and 253,964 is: 556,456.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,908 : 253,964 = 253,964 : x
  2. Step 2: Convert to fraction form
    115,908/253,964 = 253,964/x
  3. Step 3: Cross multiply
    115,908x = 253,964 × 253,964
  4. Step 4: Simplify right side
    115,908x = 64,497,713,296
  5. Step 5: Solve for x
    x = 64,497,713,296/115,908
  6. Step 6: Final answer
    x = 556,456.10

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.