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Finding the Third Proportional to 231,690 and 507,660.75

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Solution

The third proportional to 231,690 and 507,660.75 is: 1,112,345.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,690 : 507,660.75 = 507,660.75 : x
  2. Step 2: Convert to fraction form
    231,690/507,660.75 = 507,660.75/x
  3. Step 3: Cross multiply
    231,690x = 507,660.75 × 507,660.75
  4. Step 4: Simplify right side
    231,690x = 257,719,437,090.56
  5. Step 5: Solve for x
    x = 257,719,437,090.56/231,690
  6. Step 6: Final answer
    x = 1,112,345.97

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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.