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Finding the Third Proportional to 54,313 and 78,659

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Solution

The third proportional to 54,313 and 78,659 is: 113,918.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,313 : 78,659 = 78,659 : x
  2. Step 2: Convert to fraction form
    54,313/78,659 = 78,659/x
  3. Step 3: Cross multiply
    54,313x = 78,659 × 78,659
  4. Step 4: Simplify right side
    54,313x = 6,187,238,281
  5. Step 5: Solve for x
    x = 6,187,238,281/54,313
  6. Step 6: Final answer
    x = 113,918.18

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.