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Finding the Third Proportional to 351,920 and 767,348

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Solution

The third proportional to 351,920 and 767,348 is: 1,673,172.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,920 : 767,348 = 767,348 : x
  2. Step 2: Convert to fraction form
    351,920/767,348 = 767,348/x
  3. Step 3: Cross multiply
    351,920x = 767,348 × 767,348
  4. Step 4: Simplify right side
    351,920x = 588,822,953,104
  5. Step 5: Solve for x
    x = 588,822,953,104/351,920
  6. Step 6: Final answer
    x = 1,673,172.75

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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.