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Finding the Third Proportional to 311,048 and 653,430

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Solution

The third proportional to 311,048 and 653,430 is: 1,372,684.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,048 : 653,430 = 653,430 : x
  2. Step 2: Convert to fraction form
    311,048/653,430 = 653,430/x
  3. Step 3: Cross multiply
    311,048x = 653,430 × 653,430
  4. Step 4: Simplify right side
    311,048x = 426,970,764,900
  5. Step 5: Solve for x
    x = 426,970,764,900/311,048
  6. Step 6: Final answer
    x = 1,372,684.49

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.