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Finding the Third Proportional to 311,131.13 and 472,270.50

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Solution

The third proportional to 311,131.13 and 472,270.50 is: 716,866.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,131.13 : 472,270.50 = 472,270.50 : x
  2. Step 2: Convert to fraction form
    311,131.13/472,270.50 = 472,270.50/x
  3. Step 3: Cross multiply
    311,131.13x = 472,270.50 × 472,270.50
  4. Step 4: Simplify right side
    311,131.13x = 223,039,425,170.25
  5. Step 5: Solve for x
    x = 223,039,425,170.25/311,131.13
  6. Step 6: Final answer
    x = 716,866.32

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.