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Finding the Third Proportional to 70,255 and 107,721.50

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Solution

The third proportional to 70,255 and 107,721.50 is: 165,168.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,255 : 107,721.50 = 107,721.50 : x
  2. Step 2: Convert to fraction form
    70,255/107,721.50 = 107,721.50/x
  3. Step 3: Cross multiply
    70,255x = 107,721.50 × 107,721.50
  4. Step 4: Simplify right side
    70,255x = 11,603,921,562.25
  5. Step 5: Solve for x
    x = 11,603,921,562.25/70,255
  6. Step 6: Final answer
    x = 165,168.62

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.