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Finding the Third Proportional to 113,828 and 172,307

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Solution

The third proportional to 113,828 and 172,307 is: 260,829.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,828 : 172,307 = 172,307 : x
  2. Step 2: Convert to fraction form
    113,828/172,307 = 172,307/x
  3. Step 3: Cross multiply
    113,828x = 172,307 × 172,307
  4. Step 4: Simplify right side
    113,828x = 29,689,702,249
  5. Step 5: Solve for x
    x = 29,689,702,249/113,828
  6. Step 6: Final answer
    x = 260,829.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.