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Finding the Third Proportional to 679.41 and 1,457.53

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Solution

The third proportional to 679.41 and 1,457.53 is: 3,126.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    679.41 : 1,457.53 = 1,457.53 : x
  2. Step 2: Convert to fraction form
    679.41/1,457.53 = 1,457.53/x
  3. Step 3: Cross multiply
    679.41x = 1,457.53 × 1,457.53
  4. Step 4: Simplify right side
    679.41x = 2,124,397.34
  5. Step 5: Solve for x
    x = 2,124,397.34/679.41
  6. Step 6: Final answer
    x = 3,126.84

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.