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Finding the Third Proportional to 256.97 and 507.19

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Solution

The third proportional to 256.97 and 507.19 is: 1,001.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.97 : 507.19 = 507.19 : x
  2. Step 2: Convert to fraction form
    256.97/507.19 = 507.19/x
  3. Step 3: Cross multiply
    256.97x = 507.19 × 507.19
  4. Step 4: Simplify right side
    256.97x = 257,239.16
  5. Step 5: Solve for x
    x = 257,239.16/256.97
  6. Step 6: Final answer
    x = 1,001.05

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.