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Finding the Third Proportional to 379,998 and 813,090

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Solution

The third proportional to 379,998 and 813,090 is: 1,739,786.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,998 : 813,090 = 813,090 : x
  2. Step 2: Convert to fraction form
    379,998/813,090 = 813,090/x
  3. Step 3: Cross multiply
    379,998x = 813,090 × 813,090
  4. Step 4: Simplify right side
    379,998x = 661,115,348,100
  5. Step 5: Solve for x
    x = 661,115,348,100/379,998
  6. Step 6: Final answer
    x = 1,739,786.39

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.