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Finding the Third Proportional to 51,059 and 77,669

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Solution

The third proportional to 51,059 and 77,669 is: 118,147.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,059 : 77,669 = 77,669 : x
  2. Step 2: Convert to fraction form
    51,059/77,669 = 77,669/x
  3. Step 3: Cross multiply
    51,059x = 77,669 × 77,669
  4. Step 4: Simplify right side
    51,059x = 6,032,473,561
  5. Step 5: Solve for x
    x = 6,032,473,561/51,059
  6. Step 6: Final answer
    x = 118,147.12

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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.