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Finding the Third Proportional to 66,542 and 143,630

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Solution

The third proportional to 66,542 and 143,630 is: 310,023.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,542 : 143,630 = 143,630 : x
  2. Step 2: Convert to fraction form
    66,542/143,630 = 143,630/x
  3. Step 3: Cross multiply
    66,542x = 143,630 × 143,630
  4. Step 4: Simplify right side
    66,542x = 20,629,576,900
  5. Step 5: Solve for x
    x = 20,629,576,900/66,542
  6. Step 6: Final answer
    x = 310,023.40

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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.