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Finding the Third Proportional to 348.30 and 510.09

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Solution

The third proportional to 348.30 and 510.09 is: 747.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.30 : 510.09 = 510.09 : x
  2. Step 2: Convert to fraction form
    348.30/510.09 = 510.09/x
  3. Step 3: Cross multiply
    348.30x = 510.09 × 510.09
  4. Step 4: Simplify right side
    348.30x = 260,188.16
  5. Step 5: Solve for x
    x = 260,188.16/348.30
  6. Step 6: Final answer
    x = 747.01

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.