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Finding the Third Proportional to 66,525 and 100,478

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Solution

The third proportional to 66,525 and 100,478 is: 151,759.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,525 : 100,478 = 100,478 : x
  2. Step 2: Convert to fraction form
    66,525/100,478 = 100,478/x
  3. Step 3: Cross multiply
    66,525x = 100,478 × 100,478
  4. Step 4: Simplify right side
    66,525x = 10,095,828,484
  5. Step 5: Solve for x
    x = 10,095,828,484/66,525
  6. Step 6: Final answer
    x = 151,759.92

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.