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Finding the Third Proportional to 50,366 and 77,128

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Solution

The third proportional to 50,366 and 77,128 is: 118,110.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,366 : 77,128 = 77,128 : x
  2. Step 2: Convert to fraction form
    50,366/77,128 = 77,128/x
  3. Step 3: Cross multiply
    50,366x = 77,128 × 77,128
  4. Step 4: Simplify right side
    50,366x = 5,948,728,384
  5. Step 5: Solve for x
    x = 5,948,728,384/50,366
  6. Step 6: Final answer
    x = 118,110.00

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.