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Finding the Third Proportional to 256,207.50 and 407,121

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Solution

The third proportional to 256,207.50 and 407,121 is: 646,926.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,207.50 : 407,121 = 407,121 : x
  2. Step 2: Convert to fraction form
    256,207.50/407,121 = 407,121/x
  3. Step 3: Cross multiply
    256,207.50x = 407,121 × 407,121
  4. Step 4: Simplify right side
    256,207.50x = 165,747,508,641
  5. Step 5: Solve for x
    x = 165,747,508,641/256,207.50
  6. Step 6: Final answer
    x = 646,926.84

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.