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Finding the Third Proportional to 199,649 and 301,553

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Solution

The third proportional to 199,649 and 301,553 is: 455,470.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,649 : 301,553 = 301,553 : x
  2. Step 2: Convert to fraction form
    199,649/301,553 = 301,553/x
  3. Step 3: Cross multiply
    199,649x = 301,553 × 301,553
  4. Step 4: Simplify right side
    199,649x = 90,934,211,809
  5. Step 5: Solve for x
    x = 90,934,211,809/199,649
  6. Step 6: Final answer
    x = 455,470.41

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.