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Finding the Third Proportional to 36,709 and 77,710

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Solution

The third proportional to 36,709 and 77,710 is: 164,505.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,709 : 77,710 = 77,710 : x
  2. Step 2: Convert to fraction form
    36,709/77,710 = 77,710/x
  3. Step 3: Cross multiply
    36,709x = 77,710 × 77,710
  4. Step 4: Simplify right side
    36,709x = 6,038,844,100
  5. Step 5: Solve for x
    x = 6,038,844,100/36,709
  6. Step 6: Final answer
    x = 164,505.82

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.