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Finding the Third Proportional to 72,664 and 106,843

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Solution

The third proportional to 72,664 and 106,843 is: 157,098.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,664 : 106,843 = 106,843 : x
  2. Step 2: Convert to fraction form
    72,664/106,843 = 106,843/x
  3. Step 3: Cross multiply
    72,664x = 106,843 × 106,843
  4. Step 4: Simplify right side
    72,664x = 11,415,426,649
  5. Step 5: Solve for x
    x = 11,415,426,649/72,664
  6. Step 6: Final answer
    x = 157,098.79

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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.