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Finding the Third Proportional to 66,421 and 145,802

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Solution

The third proportional to 66,421 and 145,802 is: 320,052.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,421 : 145,802 = 145,802 : x
  2. Step 2: Convert to fraction form
    66,421/145,802 = 145,802/x
  3. Step 3: Cross multiply
    66,421x = 145,802 × 145,802
  4. Step 4: Simplify right side
    66,421x = 21,258,223,204
  5. Step 5: Solve for x
    x = 21,258,223,204/66,421
  6. Step 6: Final answer
    x = 320,052.74

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.