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Finding the Third Proportional to 72,000 and 107,712

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Solution

The third proportional to 72,000 and 107,712 is: 161,137.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,000 : 107,712 = 107,712 : x
  2. Step 2: Convert to fraction form
    72,000/107,712 = 107,712/x
  3. Step 3: Cross multiply
    72,000x = 107,712 × 107,712
  4. Step 4: Simplify right side
    72,000x = 11,601,874,944
  5. Step 5: Solve for x
    x = 11,601,874,944/72,000
  6. Step 6: Final answer
    x = 161,137.15

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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.