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Finding the Third Proportional to 133,777.50 and 196,230.50

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Solution

The third proportional to 133,777.50 and 196,230.50 is: 287,839.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,777.50 : 196,230.50 = 196,230.50 : x
  2. Step 2: Convert to fraction form
    133,777.50/196,230.50 = 196,230.50/x
  3. Step 3: Cross multiply
    133,777.50x = 196,230.50 × 196,230.50
  4. Step 4: Simplify right side
    133,777.50x = 38,506,409,130.25
  5. Step 5: Solve for x
    x = 38,506,409,130.25/133,777.50
  6. Step 6: Final answer
    x = 287,839.20

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.