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Finding the Third Proportional to 55,518 and 84,657

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Solution

The third proportional to 55,518 and 84,657 is: 129,089.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,518 : 84,657 = 84,657 : x
  2. Step 2: Convert to fraction form
    55,518/84,657 = 84,657/x
  3. Step 3: Cross multiply
    55,518x = 84,657 × 84,657
  4. Step 4: Simplify right side
    55,518x = 7,166,807,649
  5. Step 5: Solve for x
    x = 7,166,807,649/55,518
  6. Step 6: Final answer
    x = 129,089.80

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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.