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Finding the Third Proportional to 68,025 and 99,960

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Solution

The third proportional to 68,025 and 99,960 is: 146,887.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,025 : 99,960 = 99,960 : x
  2. Step 2: Convert to fraction form
    68,025/99,960 = 99,960/x
  3. Step 3: Cross multiply
    68,025x = 99,960 × 99,960
  4. Step 4: Simplify right side
    68,025x = 9,992,001,600
  5. Step 5: Solve for x
    x = 9,992,001,600/68,025
  6. Step 6: Final answer
    x = 146,887.20

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.