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Finding the Third Proportional to 311,860 and 645,114

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Solution

The third proportional to 311,860 and 645,114 is: 1,334,483.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,860 : 645,114 = 645,114 : x
  2. Step 2: Convert to fraction form
    311,860/645,114 = 645,114/x
  3. Step 3: Cross multiply
    311,860x = 645,114 × 645,114
  4. Step 4: Simplify right side
    311,860x = 416,172,072,996
  5. Step 5: Solve for x
    x = 416,172,072,996/311,860
  6. Step 6: Final answer
    x = 1,334,483.66

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.