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Finding the Third Proportional to 65,631 and 143,140.88

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Solution

The third proportional to 65,631 and 143,140.88 is: 312,189.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,631 : 143,140.88 = 143,140.88 : x
  2. Step 2: Convert to fraction form
    65,631/143,140.88 = 143,140.88/x
  3. Step 3: Cross multiply
    65,631x = 143,140.88 × 143,140.88
  4. Step 4: Simplify right side
    65,631x = 20,489,310,095.77
  5. Step 5: Solve for x
    x = 20,489,310,095.77/65,631
  6. Step 6: Final answer
    x = 312,189.52

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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.