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Finding the Third Proportional to 476,192 and 646,720

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Solution

The third proportional to 476,192 and 646,720 is: 878,315.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,192 : 646,720 = 646,720 : x
  2. Step 2: Convert to fraction form
    476,192/646,720 = 646,720/x
  3. Step 3: Cross multiply
    476,192x = 646,720 × 646,720
  4. Step 4: Simplify right side
    476,192x = 418,246,758,400
  5. Step 5: Solve for x
    x = 418,246,758,400/476,192
  6. Step 6: Final answer
    x = 878,315.38

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.