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Finding the Third Proportional to 552,410 and 1,222,756

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Solution

The third proportional to 552,410 and 1,222,756 is: 2,706,562.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,410 : 1,222,756 = 1,222,756 : x
  2. Step 2: Convert to fraction form
    552,410/1,222,756 = 1,222,756/x
  3. Step 3: Cross multiply
    552,410x = 1,222,756 × 1,222,756
  4. Step 4: Simplify right side
    552,410x = 1,495,132,235,536
  5. Step 5: Solve for x
    x = 1,495,132,235,536/552,410
  6. Step 6: Final answer
    x = 2,706,562.58

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.