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Finding the Third Proportional to 256,168 and 411,584

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Solution

The third proportional to 256,168 and 411,584 is: 661,290.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,168 : 411,584 = 411,584 : x
  2. Step 2: Convert to fraction form
    256,168/411,584 = 411,584/x
  3. Step 3: Cross multiply
    256,168x = 411,584 × 411,584
  4. Step 4: Simplify right side
    256,168x = 169,401,389,056
  5. Step 5: Solve for x
    x = 169,401,389,056/256,168
  6. Step 6: Final answer
    x = 661,290.20

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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.