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Finding the Third Proportional to 73,048 and 109,656

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Solution

The third proportional to 73,048 and 109,656 is: 164,610.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,048 : 109,656 = 109,656 : x
  2. Step 2: Convert to fraction form
    73,048/109,656 = 109,656/x
  3. Step 3: Cross multiply
    73,048x = 109,656 × 109,656
  4. Step 4: Simplify right side
    73,048x = 12,024,438,336
  5. Step 5: Solve for x
    x = 12,024,438,336/73,048
  6. Step 6: Final answer
    x = 164,610.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.