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Finding the Third Proportional to 828,574 and 1,815,299

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Solution

The third proportional to 828,574 and 1,815,299 is: 3,977,086.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    828,574 : 1,815,299 = 1,815,299 : x
  2. Step 2: Convert to fraction form
    828,574/1,815,299 = 1,815,299/x
  3. Step 3: Cross multiply
    828,574x = 1,815,299 × 1,815,299
  4. Step 4: Simplify right side
    828,574x = 3,295,310,459,401
  5. Step 5: Solve for x
    x = 3,295,310,459,401/828,574
  6. Step 6: Final answer
    x = 3,977,086.49

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.