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Finding the Third Proportional to 280,153.50 and 647,895.75

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Solution

The third proportional to 280,153.50 and 647,895.75 is: 1,498,353.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,153.50 : 647,895.75 = 647,895.75 : x
  2. Step 2: Convert to fraction form
    280,153.50/647,895.75 = 647,895.75/x
  3. Step 3: Cross multiply
    280,153.50x = 647,895.75 × 647,895.75
  4. Step 4: Simplify right side
    280,153.50x = 419,768,902,868.06
  5. Step 5: Solve for x
    x = 419,768,902,868.06/280,153.50
  6. Step 6: Final answer
    x = 1,498,353.23

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.