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Finding the Third Proportional to 78,292 and 117,462

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Solution

The third proportional to 78,292 and 117,462 is: 176,229.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,292 : 117,462 = 117,462 : x
  2. Step 2: Convert to fraction form
    78,292/117,462 = 117,462/x
  3. Step 3: Cross multiply
    78,292x = 117,462 × 117,462
  4. Step 4: Simplify right side
    78,292x = 13,797,321,444
  5. Step 5: Solve for x
    x = 13,797,321,444/78,292
  6. Step 6: Final answer
    x = 176,229.01

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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.