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Finding the Third Proportional to 311,365.13 and 481,573.69

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Solution

The third proportional to 311,365.13 and 481,573.69 is: 744,827.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,365.13 : 481,573.69 = 481,573.69 : x
  2. Step 2: Convert to fraction form
    311,365.13/481,573.69 = 481,573.69/x
  3. Step 3: Cross multiply
    311,365.13x = 481,573.69 × 481,573.69
  4. Step 4: Simplify right side
    311,365.13x = 231,913,216,492.35
  5. Step 5: Solve for x
    x = 231,913,216,492.35/311,365.13
  6. Step 6: Final answer
    x = 744,827.21

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.