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Finding the Third Proportional to 115,409.81 and 172,653.40

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Solution

The third proportional to 115,409.81 and 172,653.40 is: 258,289.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,409.81 : 172,653.40 = 172,653.40 : x
  2. Step 2: Convert to fraction form
    115,409.81/172,653.40 = 172,653.40/x
  3. Step 3: Cross multiply
    115,409.81x = 172,653.40 × 172,653.40
  4. Step 4: Simplify right side
    115,409.81x = 29,809,195,992.02
  5. Step 5: Solve for x
    x = 29,809,195,992.02/115,409.81
  6. Step 6: Final answer
    x = 258,289.96

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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.