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Finding the Third Proportional to 115,412.34 and 172,656.56

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Solution

The third proportional to 115,412.34 and 172,656.56 is: 258,293.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,412.34 : 172,656.56 = 172,656.56 : x
  2. Step 2: Convert to fraction form
    115,412.34/172,656.56 = 172,656.56/x
  3. Step 3: Cross multiply
    115,412.34x = 172,656.56 × 172,656.56
  4. Step 4: Simplify right side
    115,412.34x = 29,810,288,574.32
  5. Step 5: Solve for x
    x = 29,810,288,574.32/115,412.34
  6. Step 6: Final answer
    x = 258,293.76

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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.