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Finding the Third Proportional to 112,166 and 172,407

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Solution

The third proportional to 112,166 and 172,407 is: 265,001.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,166 : 172,407 = 172,407 : x
  2. Step 2: Convert to fraction form
    112,166/172,407 = 172,407/x
  3. Step 3: Cross multiply
    112,166x = 172,407 × 172,407
  4. Step 4: Simplify right side
    112,166x = 29,724,173,649
  5. Step 5: Solve for x
    x = 29,724,173,649/112,166
  6. Step 6: Final answer
    x = 265,001.64

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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.