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Finding the Third Proportional to 103,540 and 163,654

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Solution

The third proportional to 103,540 and 163,654 is: 258,669.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,540 : 163,654 = 163,654 : x
  2. Step 2: Convert to fraction form
    103,540/163,654 = 163,654/x
  3. Step 3: Cross multiply
    103,540x = 163,654 × 163,654
  4. Step 4: Simplify right side
    103,540x = 26,782,631,716
  5. Step 5: Solve for x
    x = 26,782,631,716/103,540
  6. Step 6: Final answer
    x = 258,669.42

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.