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Finding the Third Proportional to 252,059 and 553,813

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Solution

The third proportional to 252,059 and 553,813 is: 1,216,813.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,059 : 553,813 = 553,813 : x
  2. Step 2: Convert to fraction form
    252,059/553,813 = 553,813/x
  3. Step 3: Cross multiply
    252,059x = 553,813 × 553,813
  4. Step 4: Simplify right side
    252,059x = 306,708,838,969
  5. Step 5: Solve for x
    x = 306,708,838,969/252,059
  6. Step 6: Final answer
    x = 1,216,813.68

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.