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Finding the Third Proportional to 115,438.75 and 172,693.63

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Solution

The third proportional to 115,438.75 and 172,693.63 is: 258,345.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,438.75 : 172,693.63 = 172,693.63 : x
  2. Step 2: Convert to fraction form
    115,438.75/172,693.63 = 172,693.63/x
  3. Step 3: Cross multiply
    115,438.75x = 172,693.63 × 172,693.63
  4. Step 4: Simplify right side
    115,438.75x = 29,823,088,115.64
  5. Step 5: Solve for x
    x = 29,823,088,115.64/115,438.75
  6. Step 6: Final answer
    x = 258,345.56

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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.