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Finding the Third Proportional to 115,855 and 253,851

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Solution

The third proportional to 115,855 and 253,851 is: 556,215.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,855 : 253,851 = 253,851 : x
  2. Step 2: Convert to fraction form
    115,855/253,851 = 253,851/x
  3. Step 3: Cross multiply
    115,855x = 253,851 × 253,851
  4. Step 4: Simplify right side
    115,855x = 64,440,330,201
  5. Step 5: Solve for x
    x = 64,440,330,201/115,855
  6. Step 6: Final answer
    x = 556,215.36

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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.