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Finding the Third Proportional to 64,810 and 99,979

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Solution

The third proportional to 64,810 and 99,979 is: 154,232.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,810 : 99,979 = 99,979 : x
  2. Step 2: Convert to fraction form
    64,810/99,979 = 99,979/x
  3. Step 3: Cross multiply
    64,810x = 99,979 × 99,979
  4. Step 4: Simplify right side
    64,810x = 9,995,800,441
  5. Step 5: Solve for x
    x = 9,995,800,441/64,810
  6. Step 6: Final answer
    x = 154,232.38

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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.