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Finding the Third Proportional to 103,693 and 153,351

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Solution

The third proportional to 103,693 and 153,351 is: 226,789.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,693 : 153,351 = 153,351 : x
  2. Step 2: Convert to fraction form
    103,693/153,351 = 153,351/x
  3. Step 3: Cross multiply
    103,693x = 153,351 × 153,351
  4. Step 4: Simplify right side
    103,693x = 23,516,529,201
  5. Step 5: Solve for x
    x = 23,516,529,201/103,693
  6. Step 6: Final answer
    x = 226,789.94

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.