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Finding the Third Proportional to 297,554 and 645,652

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Solution

The third proportional to 297,554 and 645,652 is: 1,400,977.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,554 : 645,652 = 645,652 : x
  2. Step 2: Convert to fraction form
    297,554/645,652 = 645,652/x
  3. Step 3: Cross multiply
    297,554x = 645,652 × 645,652
  4. Step 4: Simplify right side
    297,554x = 416,866,505,104
  5. Step 5: Solve for x
    x = 416,866,505,104/297,554
  6. Step 6: Final answer
    x = 1,400,977.65

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.