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Finding the Third Proportional to 252,458 and 553,201

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Solution

The third proportional to 252,458 and 553,201 is: 1,212,206.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,458 : 553,201 = 553,201 : x
  2. Step 2: Convert to fraction form
    252,458/553,201 = 553,201/x
  3. Step 3: Cross multiply
    252,458x = 553,201 × 553,201
  4. Step 4: Simplify right side
    252,458x = 306,031,346,401
  5. Step 5: Solve for x
    x = 306,031,346,401/252,458
  6. Step 6: Final answer
    x = 1,212,206.97

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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.