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Finding the Third Proportional to 75,786 and 126,302.50

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Solution

The third proportional to 75,786 and 126,302.50 is: 210,491.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,786 : 126,302.50 = 126,302.50 : x
  2. Step 2: Convert to fraction form
    75,786/126,302.50 = 126,302.50/x
  3. Step 3: Cross multiply
    75,786x = 126,302.50 × 126,302.50
  4. Step 4: Simplify right side
    75,786x = 15,952,321,506.25
  5. Step 5: Solve for x
    x = 15,952,321,506.25/75,786
  6. Step 6: Final answer
    x = 210,491.67

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.