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Finding the Third Proportional to 347 and 507

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Solution

The third proportional to 347 and 507 is: 740.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    347 : 507 = 507 : x
  2. Step 2: Convert to fraction form
    347/507 = 507/x
  3. Step 3: Cross multiply
    347x = 507 × 507
  4. Step 4: Simplify right side
    347x = 257,049
  5. Step 5: Solve for x
    x = 257,049/347
  6. Step 6: Final answer
    x = 740.78

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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.