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Finding the Third Proportional to 262,716.75 and 406,377

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Solution

The third proportional to 262,716.75 and 406,377 is: 628,594.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,716.75 : 406,377 = 406,377 : x
  2. Step 2: Convert to fraction form
    262,716.75/406,377 = 406,377/x
  3. Step 3: Cross multiply
    262,716.75x = 406,377 × 406,377
  4. Step 4: Simplify right side
    262,716.75x = 165,142,266,129
  5. Step 5: Solve for x
    x = 165,142,266,129/262,716.75
  6. Step 6: Final answer
    x = 628,594.36

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.