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Finding the Third Proportional to 54,808 and 78,320

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Solution

The third proportional to 54,808 and 78,320 is: 111,918.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,808 : 78,320 = 78,320 : x
  2. Step 2: Convert to fraction form
    54,808/78,320 = 78,320/x
  3. Step 3: Cross multiply
    54,808x = 78,320 × 78,320
  4. Step 4: Simplify right side
    54,808x = 6,134,022,400
  5. Step 5: Solve for x
    x = 6,134,022,400/54,808
  6. Step 6: Final answer
    x = 111,918.38

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.