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Finding the Third Proportional to 112,239 and 172,509

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Solution

The third proportional to 112,239 and 172,509 is: 265,142.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,239 : 172,509 = 172,509 : x
  2. Step 2: Convert to fraction form
    112,239/172,509 = 172,509/x
  3. Step 3: Cross multiply
    112,239x = 172,509 × 172,509
  4. Step 4: Simplify right side
    112,239x = 29,759,355,081
  5. Step 5: Solve for x
    x = 29,759,355,081/112,239
  6. Step 6: Final answer
    x = 265,142.73

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.