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Finding the Third Proportional to 231,828 and 507,990

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Solution

The third proportional to 231,828 and 507,990 is: 1,113,126.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,828 : 507,990 = 507,990 : x
  2. Step 2: Convert to fraction form
    231,828/507,990 = 507,990/x
  3. Step 3: Cross multiply
    231,828x = 507,990 × 507,990
  4. Step 4: Simplify right side
    231,828x = 258,053,840,100
  5. Step 5: Solve for x
    x = 258,053,840,100/231,828
  6. Step 6: Final answer
    x = 1,113,126.28

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.