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Finding the Third Proportional to 65,864 and 128,407

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Solution

The third proportional to 65,864 and 128,407 is: 250,339.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,864 : 128,407 = 128,407 : x
  2. Step 2: Convert to fraction form
    65,864/128,407 = 128,407/x
  3. Step 3: Cross multiply
    65,864x = 128,407 × 128,407
  4. Step 4: Simplify right side
    65,864x = 16,488,357,649
  5. Step 5: Solve for x
    x = 16,488,357,649/65,864
  6. Step 6: Final answer
    x = 250,339.45

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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.