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Finding the Third Proportional to 230,284 and 338,842

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Solution

The third proportional to 230,284 and 338,842 is: 498,575.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,284 : 338,842 = 338,842 : x
  2. Step 2: Convert to fraction form
    230,284/338,842 = 338,842/x
  3. Step 3: Cross multiply
    230,284x = 338,842 × 338,842
  4. Step 4: Simplify right side
    230,284x = 114,813,900,964
  5. Step 5: Solve for x
    x = 114,813,900,964/230,284
  6. Step 6: Final answer
    x = 498,575.24

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.