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Finding the Third Proportional to 340.91 and 510.80

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Solution

The third proportional to 340.91 and 510.80 is: 765.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.91 : 510.80 = 510.80 : x
  2. Step 2: Convert to fraction form
    340.91/510.80 = 510.80/x
  3. Step 3: Cross multiply
    340.91x = 510.80 × 510.80
  4. Step 4: Simplify right side
    340.91x = 260,913.45
  5. Step 5: Solve for x
    x = 260,913.45/340.91
  6. Step 6: Final answer
    x = 765.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.