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Finding the Third Proportional to 379,972 and 810,796

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Solution

The third proportional to 379,972 and 810,796 is: 1,730,101.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,972 : 810,796 = 810,796 : x
  2. Step 2: Convert to fraction form
    379,972/810,796 = 810,796/x
  3. Step 3: Cross multiply
    379,972x = 810,796 × 810,796
  4. Step 4: Simplify right side
    379,972x = 657,390,153,616
  5. Step 5: Solve for x
    x = 657,390,153,616/379,972
  6. Step 6: Final answer
    x = 1,730,101.57

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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.