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Finding the Third Proportional to 256,041 and 387,598.50

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Solution

The third proportional to 256,041 and 387,598.50 is: 586,752.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,041 : 387,598.50 = 387,598.50 : x
  2. Step 2: Convert to fraction form
    256,041/387,598.50 = 387,598.50/x
  3. Step 3: Cross multiply
    256,041x = 387,598.50 × 387,598.50
  4. Step 4: Simplify right side
    256,041x = 150,232,597,202.25
  5. Step 5: Solve for x
    x = 150,232,597,202.25/256,041
  6. Step 6: Final answer
    x = 586,752.11

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.