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Finding the Third Proportional to 66,609 and 143,775

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Solution

The third proportional to 66,609 and 143,775 is: 310,337.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,609 : 143,775 = 143,775 : x
  2. Step 2: Convert to fraction form
    66,609/143,775 = 143,775/x
  3. Step 3: Cross multiply
    66,609x = 143,775 × 143,775
  4. Step 4: Simplify right side
    66,609x = 20,671,250,625
  5. Step 5: Solve for x
    x = 20,671,250,625/66,609
  6. Step 6: Final answer
    x = 310,337.20

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.