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Finding the Third Proportional to 66,572 and 144,899

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Solution

The third proportional to 66,572 and 144,899 is: 315,383.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,572 : 144,899 = 144,899 : x
  2. Step 2: Convert to fraction form
    66,572/144,899 = 144,899/x
  3. Step 3: Cross multiply
    66,572x = 144,899 × 144,899
  4. Step 4: Simplify right side
    66,572x = 20,995,720,201
  5. Step 5: Solve for x
    x = 20,995,720,201/66,572
  6. Step 6: Final answer
    x = 315,383.65

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.