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Finding the Third Proportional to 43,115 and 64,728

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Solution

The third proportional to 43,115 and 64,728 is: 97,175.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,115 : 64,728 = 64,728 : x
  2. Step 2: Convert to fraction form
    43,115/64,728 = 64,728/x
  3. Step 3: Cross multiply
    43,115x = 64,728 × 64,728
  4. Step 4: Simplify right side
    43,115x = 4,189,713,984
  5. Step 5: Solve for x
    x = 4,189,713,984/43,115
  6. Step 6: Final answer
    x = 97,175.32

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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.