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Finding the Third Proportional to 209,784 and 322,640.25

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Solution

The third proportional to 209,784 and 322,640.25 is: 496,209.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,784 : 322,640.25 = 322,640.25 : x
  2. Step 2: Convert to fraction form
    209,784/322,640.25 = 322,640.25/x
  3. Step 3: Cross multiply
    209,784x = 322,640.25 × 322,640.25
  4. Step 4: Simplify right side
    209,784x = 104,096,730,920.06
  5. Step 5: Solve for x
    x = 104,096,730,920.06/209,784
  6. Step 6: Final answer
    x = 496,209.11

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.