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Finding the Third Proportional to 295,380 and 640,168

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Solution

The third proportional to 295,380 and 640,168 is: 1,387,416.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,380 : 640,168 = 640,168 : x
  2. Step 2: Convert to fraction form
    295,380/640,168 = 640,168/x
  3. Step 3: Cross multiply
    295,380x = 640,168 × 640,168
  4. Step 4: Simplify right side
    295,380x = 409,815,068,224
  5. Step 5: Solve for x
    x = 409,815,068,224/295,380
  6. Step 6: Final answer
    x = 1,387,416.44

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.