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Finding the Third Proportional to 69,908 and 151,478

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Solution

The third proportional to 69,908 and 151,478 is: 328,225.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,908 : 151,478 = 151,478 : x
  2. Step 2: Convert to fraction form
    69,908/151,478 = 151,478/x
  3. Step 3: Cross multiply
    69,908x = 151,478 × 151,478
  4. Step 4: Simplify right side
    69,908x = 22,945,584,484
  5. Step 5: Solve for x
    x = 22,945,584,484/69,908
  6. Step 6: Final answer
    x = 328,225.45

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.