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Finding the Third Proportional to 73,056 and 156,480

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Solution

The third proportional to 73,056 and 156,480 is: 335,167.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,056 : 156,480 = 156,480 : x
  2. Step 2: Convert to fraction form
    73,056/156,480 = 156,480/x
  3. Step 3: Cross multiply
    73,056x = 156,480 × 156,480
  4. Step 4: Simplify right side
    73,056x = 24,485,990,400
  5. Step 5: Solve for x
    x = 24,485,990,400/73,056
  6. Step 6: Final answer
    x = 335,167.41

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.