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Finding the Third Proportional to 163,680 and 352,389

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Solution

The third proportional to 163,680 and 352,389 is: 758,663.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,680 : 352,389 = 352,389 : x
  2. Step 2: Convert to fraction form
    163,680/352,389 = 352,389/x
  3. Step 3: Cross multiply
    163,680x = 352,389 × 352,389
  4. Step 4: Simplify right side
    163,680x = 124,178,007,321
  5. Step 5: Solve for x
    x = 124,178,007,321/163,680
  6. Step 6: Final answer
    x = 758,663.29

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.