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Finding the Third Proportional to 51,356 and 77,399

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Solution

The third proportional to 51,356 and 77,399 is: 116,648.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,356 : 77,399 = 77,399 : x
  2. Step 2: Convert to fraction form
    51,356/77,399 = 77,399/x
  3. Step 3: Cross multiply
    51,356x = 77,399 × 77,399
  4. Step 4: Simplify right side
    51,356x = 5,990,605,201
  5. Step 5: Solve for x
    x = 5,990,605,201/51,356
  6. Step 6: Final answer
    x = 116,648.59

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.