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Finding the Third Proportional to 209,416.50 and 280,903.50

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Solution

The third proportional to 209,416.50 and 280,903.50 is: 376,793.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,416.50 : 280,903.50 = 280,903.50 : x
  2. Step 2: Convert to fraction form
    209,416.50/280,903.50 = 280,903.50/x
  3. Step 3: Cross multiply
    209,416.50x = 280,903.50 × 280,903.50
  4. Step 4: Simplify right side
    209,416.50x = 78,906,776,312.25
  5. Step 5: Solve for x
    x = 78,906,776,312.25/209,416.50
  6. Step 6: Final answer
    x = 376,793.50

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.