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Finding the Third Proportional to 51,146 and 77,511

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Solution

The third proportional to 51,146 and 77,511 is: 117,466.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,146 : 77,511 = 77,511 : x
  2. Step 2: Convert to fraction form
    51,146/77,511 = 77,511/x
  3. Step 3: Cross multiply
    51,146x = 77,511 × 77,511
  4. Step 4: Simplify right side
    51,146x = 6,007,955,121
  5. Step 5: Solve for x
    x = 6,007,955,121/51,146
  6. Step 6: Final answer
    x = 117,466.76

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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.