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Finding the Third Proportional to 334.13 and 812.53

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Solution

The third proportional to 334.13 and 812.53 is: 1,975.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.13 : 812.53 = 812.53 : x
  2. Step 2: Convert to fraction form
    334.13/812.53 = 812.53/x
  3. Step 3: Cross multiply
    334.13x = 812.53 × 812.53
  4. Step 4: Simplify right side
    334.13x = 660,207.03
  5. Step 5: Solve for x
    x = 660,207.03/334.13
  6. Step 6: Final answer
    x = 1,975.93

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Why These Related Problems?

These problems maintain the same ratio (2.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.