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Finding the Third Proportional to 379,968 and 810,788

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Solution

The third proportional to 379,968 and 810,788 is: 1,730,085.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,968 : 810,788 = 810,788 : x
  2. Step 2: Convert to fraction form
    379,968/810,788 = 810,788/x
  3. Step 3: Cross multiply
    379,968x = 810,788 × 810,788
  4. Step 4: Simplify right side
    379,968x = 657,377,180,944
  5. Step 5: Solve for x
    x = 657,377,180,944/379,968
  6. Step 6: Final answer
    x = 1,730,085.64

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.