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Finding the Third Proportional to 51,144 and 77,508

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Solution

The third proportional to 51,144 and 77,508 is: 117,462.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,144 : 77,508 = 77,508 : x
  2. Step 2: Convert to fraction form
    51,144/77,508 = 77,508/x
  3. Step 3: Cross multiply
    51,144x = 77,508 × 77,508
  4. Step 4: Simplify right side
    51,144x = 6,007,490,064
  5. Step 5: Solve for x
    x = 6,007,490,064/51,144
  6. Step 6: Final answer
    x = 117,462.26

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.