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Finding the Third Proportional to 66,164 and 128,987

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Solution

The third proportional to 66,164 and 128,987 is: 251,460.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,164 : 128,987 = 128,987 : x
  2. Step 2: Convert to fraction form
    66,164/128,987 = 128,987/x
  3. Step 3: Cross multiply
    66,164x = 128,987 × 128,987
  4. Step 4: Simplify right side
    66,164x = 16,637,646,169
  5. Step 5: Solve for x
    x = 16,637,646,169/66,164
  6. Step 6: Final answer
    x = 251,460.71

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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.