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Finding the Third Proportional to 346.50 and 530.75

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Solution

The third proportional to 346.50 and 530.75 is: 812.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.50 : 530.75 = 530.75 : x
  2. Step 2: Convert to fraction form
    346.50/530.75 = 530.75/x
  3. Step 3: Cross multiply
    346.50x = 530.75 × 530.75
  4. Step 4: Simplify right side
    346.50x = 281,695.56
  5. Step 5: Solve for x
    x = 281,695.56/346.50
  6. Step 6: Final answer
    x = 812.97

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.