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Finding the Third Proportional to 51,289 and 77,617

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Solution

The third proportional to 51,289 and 77,617 is: 117,459.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,289 : 77,617 = 77,617 : x
  2. Step 2: Convert to fraction form
    51,289/77,617 = 77,617/x
  3. Step 3: Cross multiply
    51,289x = 77,617 × 77,617
  4. Step 4: Simplify right side
    51,289x = 6,024,398,689
  5. Step 5: Solve for x
    x = 6,024,398,689/51,289
  6. Step 6: Final answer
    x = 117,459.86

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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.