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Finding the Third Proportional to 208,636 and 313,952

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Solution

The third proportional to 208,636 and 313,952 is: 472,429.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,636 : 313,952 = 313,952 : x
  2. Step 2: Convert to fraction form
    208,636/313,952 = 313,952/x
  3. Step 3: Cross multiply
    208,636x = 313,952 × 313,952
  4. Step 4: Simplify right side
    208,636x = 98,565,858,304
  5. Step 5: Solve for x
    x = 98,565,858,304/208,636
  6. Step 6: Final answer
    x = 472,429.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.