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Finding the Third Proportional to 295,668 and 638,835.75

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Solution

The third proportional to 295,668 and 638,835.75 is: 1,380,301.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,668 : 638,835.75 = 638,835.75 : x
  2. Step 2: Convert to fraction form
    295,668/638,835.75 = 638,835.75/x
  3. Step 3: Cross multiply
    295,668x = 638,835.75 × 638,835.75
  4. Step 4: Simplify right side
    295,668x = 408,111,115,478.06
  5. Step 5: Solve for x
    x = 408,111,115,478.06/295,668
  6. Step 6: Final answer
    x = 1,380,301.95

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.