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Finding the Third Proportional to 256,567 and 402,467

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Solution

The third proportional to 256,567 and 402,467 is: 631,334.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,567 : 402,467 = 402,467 : x
  2. Step 2: Convert to fraction form
    256,567/402,467 = 402,467/x
  3. Step 3: Cross multiply
    256,567x = 402,467 × 402,467
  4. Step 4: Simplify right side
    256,567x = 161,979,686,089
  5. Step 5: Solve for x
    x = 161,979,686,089/256,567
  6. Step 6: Final answer
    x = 631,334.84

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.