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Finding the Third Proportional to 240,862 and 338,888

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Solution

The third proportional to 240,862 and 338,888 is: 476,808.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,862 : 338,888 = 338,888 : x
  2. Step 2: Convert to fraction form
    240,862/338,888 = 338,888/x
  3. Step 3: Cross multiply
    240,862x = 338,888 × 338,888
  4. Step 4: Simplify right side
    240,862x = 114,845,076,544
  5. Step 5: Solve for x
    x = 114,845,076,544/240,862
  6. Step 6: Final answer
    x = 476,808.61

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.