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Finding the Third Proportional to 66,160 and 128,979

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Solution

The third proportional to 66,160 and 128,979 is: 251,444.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,160 : 128,979 = 128,979 : x
  2. Step 2: Convert to fraction form
    66,160/128,979 = 128,979/x
  3. Step 3: Cross multiply
    66,160x = 128,979 × 128,979
  4. Step 4: Simplify right side
    66,160x = 16,635,582,441
  5. Step 5: Solve for x
    x = 16,635,582,441/66,160
  6. Step 6: Final answer
    x = 251,444.72

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.