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Finding the Third Proportional to 346.78 and 507.52

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Solution

The third proportional to 346.78 and 507.52 is: 742.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.78 : 507.52 = 507.52 : x
  2. Step 2: Convert to fraction form
    346.78/507.52 = 507.52/x
  3. Step 3: Cross multiply
    346.78x = 507.52 × 507.52
  4. Step 4: Simplify right side
    346.78x = 257,572.11
  5. Step 5: Solve for x
    x = 257,572.11/346.78
  6. Step 6: Final answer
    x = 742.75

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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.