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Finding the Third Proportional to 66,811 and 102,737

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Solution

The third proportional to 66,811 and 102,737 is: 157,981.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,811 : 102,737 = 102,737 : x
  2. Step 2: Convert to fraction form
    66,811/102,737 = 102,737/x
  3. Step 3: Cross multiply
    66,811x = 102,737 × 102,737
  4. Step 4: Simplify right side
    66,811x = 10,554,891,169
  5. Step 5: Solve for x
    x = 10,554,891,169/66,811
  6. Step 6: Final answer
    x = 157,981.34

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.