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Finding the Third Proportional to 256,000 and 344,625

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Solution

The third proportional to 256,000 and 344,625 is: 463,931.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,000 : 344,625 = 344,625 : x
  2. Step 2: Convert to fraction form
    256,000/344,625 = 344,625/x
  3. Step 3: Cross multiply
    256,000x = 344,625 × 344,625
  4. Step 4: Simplify right side
    256,000x = 118,766,390,625
  5. Step 5: Solve for x
    x = 118,766,390,625/256,000
  6. Step 6: Final answer
    x = 463,931.21

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.