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Finding the Third Proportional to 340.25 and 507.88

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Solution

The third proportional to 340.25 and 507.88 is: 758.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.25 : 507.88 = 507.88 : x
  2. Step 2: Convert to fraction form
    340.25/507.88 = 507.88/x
  3. Step 3: Cross multiply
    340.25x = 507.88 × 507.88
  4. Step 4: Simplify right side
    340.25x = 257,937.02
  5. Step 5: Solve for x
    x = 257,937.02/340.25
  6. Step 6: Final answer
    x = 758.08

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.