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Finding the Third Proportional to 202,682.25 and 315,505.13

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Solution

The third proportional to 202,682.25 and 315,505.13 is: 491,130.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,682.25 : 315,505.13 = 315,505.13 : x
  2. Step 2: Convert to fraction form
    202,682.25/315,505.13 = 315,505.13/x
  3. Step 3: Cross multiply
    202,682.25x = 315,505.13 × 315,505.13
  4. Step 4: Simplify right side
    202,682.25x = 99,543,483,901.27
  5. Step 5: Solve for x
    x = 99,543,483,901.27/202,682.25
  6. Step 6: Final answer
    x = 491,130.74

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.