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Finding the Third Proportional to 103,318 and 151,438

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Solution

The third proportional to 103,318 and 151,438 is: 221,969.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,318 : 151,438 = 151,438 : x
  2. Step 2: Convert to fraction form
    103,318/151,438 = 151,438/x
  3. Step 3: Cross multiply
    103,318x = 151,438 × 151,438
  4. Step 4: Simplify right side
    103,318x = 22,933,467,844
  5. Step 5: Solve for x
    x = 22,933,467,844/103,318
  6. Step 6: Final answer
    x = 221,969.72

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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.