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Finding the Third Proportional to 452,751 and 949,566

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Solution

The third proportional to 452,751 and 949,566 is: 1,991,548.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,751 : 949,566 = 949,566 : x
  2. Step 2: Convert to fraction form
    452,751/949,566 = 949,566/x
  3. Step 3: Cross multiply
    452,751x = 949,566 × 949,566
  4. Step 4: Simplify right side
    452,751x = 901,675,588,356
  5. Step 5: Solve for x
    x = 901,675,588,356/452,751
  6. Step 6: Final answer
    x = 1,991,548.53

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.