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Finding the Third Proportional to 66,027 and 128,746

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Solution

The third proportional to 66,027 and 128,746 is: 251,041.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,027 : 128,746 = 128,746 : x
  2. Step 2: Convert to fraction form
    66,027/128,746 = 128,746/x
  3. Step 3: Cross multiply
    66,027x = 128,746 × 128,746
  4. Step 4: Simplify right side
    66,027x = 16,575,532,516
  5. Step 5: Solve for x
    x = 16,575,532,516/66,027
  6. Step 6: Final answer
    x = 251,041.73

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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.