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Finding the Third Proportional to 102,575 and 231,489

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Solution

The third proportional to 102,575 and 231,489 is: 522,419.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,575 : 231,489 = 231,489 : x
  2. Step 2: Convert to fraction form
    102,575/231,489 = 231,489/x
  3. Step 3: Cross multiply
    102,575x = 231,489 × 231,489
  4. Step 4: Simplify right side
    102,575x = 53,587,157,121
  5. Step 5: Solve for x
    x = 53,587,157,121/102,575
  6. Step 6: Final answer
    x = 522,419.27

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.