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Finding the Third Proportional to 256,214 and 385,144

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Solution

The third proportional to 256,214 and 385,144 is: 578,953.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,214 : 385,144 = 385,144 : x
  2. Step 2: Convert to fraction form
    256,214/385,144 = 385,144/x
  3. Step 3: Cross multiply
    256,214x = 385,144 × 385,144
  4. Step 4: Simplify right side
    256,214x = 148,335,900,736
  5. Step 5: Solve for x
    x = 148,335,900,736/256,214
  6. Step 6: Final answer
    x = 578,953.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.