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Finding the Third Proportional to 347.88 and 507.63

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Solution

The third proportional to 347.88 and 507.63 is: 740.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.88 : 507.63 = 507.63 : x
  2. Step 2: Convert to fraction form
    347.88/507.63 = 507.63/x
  3. Step 3: Cross multiply
    347.88x = 507.63 × 507.63
  4. Step 4: Simplify right side
    347.88x = 257,683.14
  5. Step 5: Solve for x
    x = 257,683.14/347.88
  6. Step 6: Final answer
    x = 740.73

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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.