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Finding the Third Proportional to 88,749.75 and 193,762.50

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Solution

The third proportional to 88,749.75 and 193,762.50 is: 423,031.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,749.75 : 193,762.50 = 193,762.50 : x
  2. Step 2: Convert to fraction form
    88,749.75/193,762.50 = 193,762.50/x
  3. Step 3: Cross multiply
    88,749.75x = 193,762.50 × 193,762.50
  4. Step 4: Simplify right side
    88,749.75x = 37,543,906,406.25
  5. Step 5: Solve for x
    x = 37,543,906,406.25/88,749.75
  6. Step 6: Final answer
    x = 423,031.12

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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.