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Finding the Third Proportional to 115,653.64 and 172,520.98

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Solution

The third proportional to 115,653.64 and 172,520.98 is: 257,350.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,653.64 : 172,520.98 = 172,520.98 : x
  2. Step 2: Convert to fraction form
    115,653.64/172,520.98 = 172,520.98/x
  3. Step 3: Cross multiply
    115,653.64x = 172,520.98 × 172,520.98
  4. Step 4: Simplify right side
    115,653.64x = 29,763,489,375.81
  5. Step 5: Solve for x
    x = 29,763,489,375.81/115,653.64
  6. Step 6: Final answer
    x = 257,350.21

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.