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Finding the Third Proportional to 58,077 and 81,787

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Solution

The third proportional to 58,077 and 81,787 is: 115,176.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,077 : 81,787 = 81,787 : x
  2. Step 2: Convert to fraction form
    58,077/81,787 = 81,787/x
  3. Step 3: Cross multiply
    58,077x = 81,787 × 81,787
  4. Step 4: Simplify right side
    58,077x = 6,689,113,369
  5. Step 5: Solve for x
    x = 6,689,113,369/58,077
  6. Step 6: Final answer
    x = 115,176.63

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.