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Finding the Third Proportional to 77,906 and 115,659

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Solution

The third proportional to 77,906 and 115,659 is: 171,706.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,906 : 115,659 = 115,659 : x
  2. Step 2: Convert to fraction form
    77,906/115,659 = 115,659/x
  3. Step 3: Cross multiply
    77,906x = 115,659 × 115,659
  4. Step 4: Simplify right side
    77,906x = 13,377,004,281
  5. Step 5: Solve for x
    x = 13,377,004,281/77,906
  6. Step 6: Final answer
    x = 171,706.98

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.