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Finding the Third Proportional to 256,068 and 368,850

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Solution

The third proportional to 256,068 and 368,850 is: 531,305.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,068 : 368,850 = 368,850 : x
  2. Step 2: Convert to fraction form
    256,068/368,850 = 368,850/x
  3. Step 3: Cross multiply
    256,068x = 368,850 × 368,850
  4. Step 4: Simplify right side
    256,068x = 136,050,322,500
  5. Step 5: Solve for x
    x = 136,050,322,500/256,068
  6. Step 6: Final answer
    x = 531,305.44

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.