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Finding the Third Proportional to 67,489 and 103,278

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Solution

The third proportional to 67,489 and 103,278 is: 158,045.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,489 : 103,278 = 103,278 : x
  2. Step 2: Convert to fraction form
    67,489/103,278 = 103,278/x
  3. Step 3: Cross multiply
    67,489x = 103,278 × 103,278
  4. Step 4: Simplify right side
    67,489x = 10,666,345,284
  5. Step 5: Solve for x
    x = 10,666,345,284/67,489
  6. Step 6: Final answer
    x = 158,045.69

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.