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Finding the Third Proportional to 404,840 and 605,029

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Solution

The third proportional to 404,840 and 605,029 is: 904,209.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,840 : 605,029 = 605,029 : x
  2. Step 2: Convert to fraction form
    404,840/605,029 = 605,029/x
  3. Step 3: Cross multiply
    404,840x = 605,029 × 605,029
  4. Step 4: Simplify right side
    404,840x = 366,060,090,841
  5. Step 5: Solve for x
    x = 366,060,090,841/404,840
  6. Step 6: Final answer
    x = 904,209.29

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.