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Finding the Third Proportional to 52,553 and 78,883

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Solution

The third proportional to 52,553 and 78,883 is: 118,404.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,553 : 78,883 = 78,883 : x
  2. Step 2: Convert to fraction form
    52,553/78,883 = 78,883/x
  3. Step 3: Cross multiply
    52,553x = 78,883 × 78,883
  4. Step 4: Simplify right side
    52,553x = 6,222,527,689
  5. Step 5: Solve for x
    x = 6,222,527,689/52,553
  6. Step 6: Final answer
    x = 118,404.80

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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.