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Finding the Third Proportional to 65,866 and 128,410

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Solution

The third proportional to 65,866 and 128,410 is: 250,343.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,866 : 128,410 = 128,410 : x
  2. Step 2: Convert to fraction form
    65,866/128,410 = 128,410/x
  3. Step 3: Cross multiply
    65,866x = 128,410 × 128,410
  4. Step 4: Simplify right side
    65,866x = 16,489,128,100
  5. Step 5: Solve for x
    x = 16,489,128,100/65,866
  6. Step 6: Final answer
    x = 250,343.55

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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.