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Finding the Third Proportional to 348.68 and 510.68

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Solution

The third proportional to 348.68 and 510.68 is: 747.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.68 : 510.68 = 510.68 : x
  2. Step 2: Convert to fraction form
    348.68/510.68 = 510.68/x
  3. Step 3: Cross multiply
    348.68x = 510.68 × 510.68
  4. Step 4: Simplify right side
    348.68x = 260,793.74
  5. Step 5: Solve for x
    x = 260,793.74/348.68
  6. Step 6: Final answer
    x = 747.95

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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.