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Finding the Third Proportional to 351.84 and 530.30

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Solution

The third proportional to 351.84 and 530.30 is: 799.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.84 : 530.30 = 530.30 : x
  2. Step 2: Convert to fraction form
    351.84/530.30 = 530.30/x
  3. Step 3: Cross multiply
    351.84x = 530.30 × 530.30
  4. Step 4: Simplify right side
    351.84x = 281,214.78
  5. Step 5: Solve for x
    x = 281,214.78/351.84
  6. Step 6: Final answer
    x = 799.26

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.