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Finding the Third Proportional to 79,397 and 112,857

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Solution

The third proportional to 79,397 and 112,857 is: 160,417.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,397 : 112,857 = 112,857 : x
  2. Step 2: Convert to fraction form
    79,397/112,857 = 112,857/x
  3. Step 3: Cross multiply
    79,397x = 112,857 × 112,857
  4. Step 4: Simplify right side
    79,397x = 12,736,702,449
  5. Step 5: Solve for x
    x = 12,736,702,449/79,397
  6. Step 6: Final answer
    x = 160,417.93

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.