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Finding the Third Proportional to 378,090 and 830,721

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Solution

The third proportional to 378,090 and 830,721 is: 1,825,219.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,090 : 830,721 = 830,721 : x
  2. Step 2: Convert to fraction form
    378,090/830,721 = 830,721/x
  3. Step 3: Cross multiply
    378,090x = 830,721 × 830,721
  4. Step 4: Simplify right side
    378,090x = 690,097,379,841
  5. Step 5: Solve for x
    x = 690,097,379,841/378,090
  6. Step 6: Final answer
    x = 1,825,219.87

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.