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Finding the Third Proportional to 311,050.13 and 655,300.13

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Solution

The third proportional to 311,050.13 and 655,300.13 is: 1,380,543.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,050.13 : 655,300.13 = 655,300.13 : x
  2. Step 2: Convert to fraction form
    311,050.13/655,300.13 = 655,300.13/x
  3. Step 3: Cross multiply
    311,050.13x = 655,300.13 × 655,300.13
  4. Step 4: Simplify right side
    311,050.13x = 429,418,253,825.02
  5. Step 5: Solve for x
    x = 429,418,253,825.02/311,050.13
  6. Step 6: Final answer
    x = 1,380,543.58

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.