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Finding the Third Proportional to 229,641 and 335,389

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Solution

The third proportional to 229,641 and 335,389 is: 489,833.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,641 : 335,389 = 335,389 : x
  2. Step 2: Convert to fraction form
    229,641/335,389 = 335,389/x
  3. Step 3: Cross multiply
    229,641x = 335,389 × 335,389
  4. Step 4: Simplify right side
    229,641x = 112,485,781,321
  5. Step 5: Solve for x
    x = 112,485,781,321/229,641
  6. Step 6: Final answer
    x = 489,833.18

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.