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Finding the Third Proportional to 112,566 and 158,319

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Solution

The third proportional to 112,566 and 158,319 is: 222,668.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,566 : 158,319 = 158,319 : x
  2. Step 2: Convert to fraction form
    112,566/158,319 = 158,319/x
  3. Step 3: Cross multiply
    112,566x = 158,319 × 158,319
  4. Step 4: Simplify right side
    112,566x = 25,064,905,761
  5. Step 5: Solve for x
    x = 25,064,905,761/112,566
  6. Step 6: Final answer
    x = 222,668.53

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.