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Finding the Third Proportional to 401,890 and 590,739

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Solution

The third proportional to 401,890 and 590,739 is: 868,328.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,890 : 590,739 = 590,739 : x
  2. Step 2: Convert to fraction form
    401,890/590,739 = 590,739/x
  3. Step 3: Cross multiply
    401,890x = 590,739 × 590,739
  4. Step 4: Simplify right side
    401,890x = 348,972,566,121
  5. Step 5: Solve for x
    x = 348,972,566,121/401,890
  6. Step 6: Final answer
    x = 868,328.56

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.