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Finding the Third Proportional to 256,138.50 and 411,544.50

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Solution

The third proportional to 256,138.50 and 411,544.50 is: 661,239.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,138.50 : 411,544.50 = 411,544.50 : x
  2. Step 2: Convert to fraction form
    256,138.50/411,544.50 = 411,544.50/x
  3. Step 3: Cross multiply
    256,138.50x = 411,544.50 × 411,544.50
  4. Step 4: Simplify right side
    256,138.50x = 169,368,875,480.25
  5. Step 5: Solve for x
    x = 169,368,875,480.25/256,138.50
  6. Step 6: Final answer
    x = 661,239.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.