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Finding the Third Proportional to 115,278 and 172,185

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Solution

The third proportional to 115,278 and 172,185 is: 257,184.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,278 : 172,185 = 172,185 : x
  2. Step 2: Convert to fraction form
    115,278/172,185 = 172,185/x
  3. Step 3: Cross multiply
    115,278x = 172,185 × 172,185
  4. Step 4: Simplify right side
    115,278x = 29,647,674,225
  5. Step 5: Solve for x
    x = 29,647,674,225/115,278
  6. Step 6: Final answer
    x = 257,184.15

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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.