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Finding the Third Proportional to 287,647 and 450,250.50

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Solution

The third proportional to 287,647 and 450,250.50 is: 704,771.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,647 : 450,250.50 = 450,250.50 : x
  2. Step 2: Convert to fraction form
    287,647/450,250.50 = 450,250.50/x
  3. Step 3: Cross multiply
    287,647x = 450,250.50 × 450,250.50
  4. Step 4: Simplify right side
    287,647x = 202,725,512,750.25
  5. Step 5: Solve for x
    x = 202,725,512,750.25/287,647
  6. Step 6: Final answer
    x = 704,771.87

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.