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Finding the Third Proportional to 256,704 and 395,088

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Solution

The third proportional to 256,704 and 395,088 is: 608,072.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,704 : 395,088 = 395,088 : x
  2. Step 2: Convert to fraction form
    256,704/395,088 = 395,088/x
  3. Step 3: Cross multiply
    256,704x = 395,088 × 395,088
  4. Step 4: Simplify right side
    256,704x = 156,094,527,744
  5. Step 5: Solve for x
    x = 156,094,527,744/256,704
  6. Step 6: Final answer
    x = 608,072.05

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.