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Finding the Third Proportional to 112,164 and 172,403

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Solution

The third proportional to 112,164 and 172,403 is: 264,994.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,164 : 172,403 = 172,403 : x
  2. Step 2: Convert to fraction form
    112,164/172,403 = 172,403/x
  3. Step 3: Cross multiply
    112,164x = 172,403 × 172,403
  4. Step 4: Simplify right side
    112,164x = 29,722,794,409
  5. Step 5: Solve for x
    x = 29,722,794,409/112,164
  6. Step 6: Final answer
    x = 264,994.07

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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.