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Finding the Third Proportional to 115,445 and 172,704

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Solution

The third proportional to 115,445 and 172,704 is: 258,362.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,445 : 172,704 = 172,704 : x
  2. Step 2: Convert to fraction form
    115,445/172,704 = 172,704/x
  3. Step 3: Cross multiply
    115,445x = 172,704 × 172,704
  4. Step 4: Simplify right side
    115,445x = 29,826,671,616
  5. Step 5: Solve for x
    x = 29,826,671,616/115,445
  6. Step 6: Final answer
    x = 258,362.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.