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Finding the Third Proportional to 280,280.25 and 435,192.75

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Solution

The third proportional to 280,280.25 and 435,192.75 is: 675,726.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,280.25 : 435,192.75 = 435,192.75 : x
  2. Step 2: Convert to fraction form
    280,280.25/435,192.75 = 435,192.75/x
  3. Step 3: Cross multiply
    280,280.25x = 435,192.75 × 435,192.75
  4. Step 4: Simplify right side
    280,280.25x = 189,392,729,652.56
  5. Step 5: Solve for x
    x = 189,392,729,652.56/280,280.25
  6. Step 6: Final answer
    x = 675,726.28

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.