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Finding the Third Proportional to 77,152.50 and 115,911

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Solution

The third proportional to 77,152.50 and 115,911 is: 174,140.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,152.50 : 115,911 = 115,911 : x
  2. Step 2: Convert to fraction form
    77,152.50/115,911 = 115,911/x
  3. Step 3: Cross multiply
    77,152.50x = 115,911 × 115,911
  4. Step 4: Simplify right side
    77,152.50x = 13,435,359,921
  5. Step 5: Solve for x
    x = 13,435,359,921/77,152.50
  6. Step 6: Final answer
    x = 174,140.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.