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Finding the Third Proportional to 256,061 and 368,865

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Solution

The third proportional to 256,061 and 368,865 is: 531,363.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,061 : 368,865 = 368,865 : x
  2. Step 2: Convert to fraction form
    256,061/368,865 = 368,865/x
  3. Step 3: Cross multiply
    256,061x = 368,865 × 368,865
  4. Step 4: Simplify right side
    256,061x = 136,061,388,225
  5. Step 5: Solve for x
    x = 136,061,388,225/256,061
  6. Step 6: Final answer
    x = 531,363.18

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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.