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Finding the Third Proportional to 64,812 and 99,984

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Solution

The third proportional to 64,812 and 99,984 is: 154,243.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,812 : 99,984 = 99,984 : x
  2. Step 2: Convert to fraction form
    64,812/99,984 = 99,984/x
  3. Step 3: Cross multiply
    64,812x = 99,984 × 99,984
  4. Step 4: Simplify right side
    64,812x = 9,996,800,256
  5. Step 5: Solve for x
    x = 9,996,800,256/64,812
  6. Step 6: Final answer
    x = 154,243.05

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.