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Finding the Third Proportional to 58,518 and 87,649

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Solution

The third proportional to 58,518 and 87,649 is: 131,281.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,518 : 87,649 = 87,649 : x
  2. Step 2: Convert to fraction form
    58,518/87,649 = 87,649/x
  3. Step 3: Cross multiply
    58,518x = 87,649 × 87,649
  4. Step 4: Simplify right side
    58,518x = 7,682,347,201
  5. Step 5: Solve for x
    x = 7,682,347,201/58,518
  6. Step 6: Final answer
    x = 131,281.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.