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Finding the Third Proportional to 107,235 and 211,778

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Solution

The third proportional to 107,235 and 211,778 is: 418,239.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,235 : 211,778 = 211,778 : x
  2. Step 2: Convert to fraction form
    107,235/211,778 = 211,778/x
  3. Step 3: Cross multiply
    107,235x = 211,778 × 211,778
  4. Step 4: Simplify right side
    107,235x = 44,849,921,284
  5. Step 5: Solve for x
    x = 44,849,921,284/107,235
  6. Step 6: Final answer
    x = 418,239.58

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.