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Finding the Third Proportional to 352,685 and 768,307

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Solution

The third proportional to 352,685 and 768,307 is: 1,673,719.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,685 : 768,307 = 768,307 : x
  2. Step 2: Convert to fraction form
    352,685/768,307 = 768,307/x
  3. Step 3: Cross multiply
    352,685x = 768,307 × 768,307
  4. Step 4: Simplify right side
    352,685x = 590,295,646,249
  5. Step 5: Solve for x
    x = 590,295,646,249/352,685
  6. Step 6: Final answer
    x = 1,673,719.17

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.