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Finding the Third Proportional to 379.81 and 510.44

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Solution

The third proportional to 379.81 and 510.44 is: 686.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.81 : 510.44 = 510.44 : x
  2. Step 2: Convert to fraction form
    379.81/510.44 = 510.44/x
  3. Step 3: Cross multiply
    379.81x = 510.44 × 510.44
  4. Step 4: Simplify right side
    379.81x = 260,551.43
  5. Step 5: Solve for x
    x = 260,551.43/379.81
  6. Step 6: Final answer
    x = 686.01

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.