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Finding the Third Proportional to 209,281 and 313,104

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Solution

The third proportional to 209,281 and 313,104 is: 468,432.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,281 : 313,104 = 313,104 : x
  2. Step 2: Convert to fraction form
    209,281/313,104 = 313,104/x
  3. Step 3: Cross multiply
    209,281x = 313,104 × 313,104
  4. Step 4: Simplify right side
    209,281x = 98,034,114,816
  5. Step 5: Solve for x
    x = 98,034,114,816/209,281
  6. Step 6: Final answer
    x = 468,432.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.