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Finding the Third Proportional to 209,815 and 452,799

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Solution

The third proportional to 209,815 and 452,799 is: 977,179.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,815 : 452,799 = 452,799 : x
  2. Step 2: Convert to fraction form
    209,815/452,799 = 452,799/x
  3. Step 3: Cross multiply
    209,815x = 452,799 × 452,799
  4. Step 4: Simplify right side
    209,815x = 205,026,934,401
  5. Step 5: Solve for x
    x = 205,026,934,401/209,815
  6. Step 6: Final answer
    x = 977,179.58

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.