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Finding the Third Proportional to 133,347.75 and 194,756.25

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Solution

The third proportional to 133,347.75 and 194,756.25 is: 284,444.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,347.75 : 194,756.25 = 194,756.25 : x
  2. Step 2: Convert to fraction form
    133,347.75/194,756.25 = 194,756.25/x
  3. Step 3: Cross multiply
    133,347.75x = 194,756.25 × 194,756.25
  4. Step 4: Simplify right side
    133,347.75x = 37,929,996,914.06
  5. Step 5: Solve for x
    x = 37,929,996,914.06/133,347.75
  6. Step 6: Final answer
    x = 284,444.22

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.