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Finding the Third Proportional to 96,132 and 143,401.50

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Solution

The third proportional to 96,132 and 143,401.50 is: 213,914.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,132 : 143,401.50 = 143,401.50 : x
  2. Step 2: Convert to fraction form
    96,132/143,401.50 = 143,401.50/x
  3. Step 3: Cross multiply
    96,132x = 143,401.50 × 143,401.50
  4. Step 4: Simplify right side
    96,132x = 20,563,990,202.25
  5. Step 5: Solve for x
    x = 20,563,990,202.25/96,132
  6. Step 6: Final answer
    x = 213,914.10

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.