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Finding the Third Proportional to 64,494 and 99,645

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Solution

The third proportional to 64,494 and 99,645 is: 153,954.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,494 : 99,645 = 99,645 : x
  2. Step 2: Convert to fraction form
    64,494/99,645 = 99,645/x
  3. Step 3: Cross multiply
    64,494x = 99,645 × 99,645
  4. Step 4: Simplify right side
    64,494x = 9,929,126,025
  5. Step 5: Solve for x
    x = 9,929,126,025/64,494
  6. Step 6: Final answer
    x = 153,954.26

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.