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Finding the Third Proportional to 72,776 and 107,116

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Solution

The third proportional to 72,776 and 107,116 is: 157,659.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,776 : 107,116 = 107,116 : x
  2. Step 2: Convert to fraction form
    72,776/107,116 = 107,116/x
  3. Step 3: Cross multiply
    72,776x = 107,116 × 107,116
  4. Step 4: Simplify right side
    72,776x = 11,473,837,456
  5. Step 5: Solve for x
    x = 11,473,837,456/72,776
  6. Step 6: Final answer
    x = 157,659.63

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.