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Finding the Third Proportional to 280,273.50 and 435,178.50

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Solution

The third proportional to 280,273.50 and 435,178.50 is: 675,698.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,273.50 : 435,178.50 = 435,178.50 : x
  2. Step 2: Convert to fraction form
    280,273.50/435,178.50 = 435,178.50/x
  3. Step 3: Cross multiply
    280,273.50x = 435,178.50 × 435,178.50
  4. Step 4: Simplify right side
    280,273.50x = 189,380,326,862.25
  5. Step 5: Solve for x
    x = 189,380,326,862.25/280,273.50
  6. Step 6: Final answer
    x = 675,698.30

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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.