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Finding the Third Proportional to 256,185 and 409,261.50

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Solution

The third proportional to 256,185 and 409,261.50 is: 653,804.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,185 : 409,261.50 = 409,261.50 : x
  2. Step 2: Convert to fraction form
    256,185/409,261.50 = 409,261.50/x
  3. Step 3: Cross multiply
    256,185x = 409,261.50 × 409,261.50
  4. Step 4: Simplify right side
    256,185x = 167,494,975,382.25
  5. Step 5: Solve for x
    x = 167,494,975,382.25/256,185
  6. Step 6: Final answer
    x = 653,804.77

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.