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Finding the Third Proportional to 84,709 and 112,929

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Solution

The third proportional to 84,709 and 112,929 is: 150,550.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,709 : 112,929 = 112,929 : x
  2. Step 2: Convert to fraction form
    84,709/112,929 = 112,929/x
  3. Step 3: Cross multiply
    84,709x = 112,929 × 112,929
  4. Step 4: Simplify right side
    84,709x = 12,752,959,041
  5. Step 5: Solve for x
    x = 12,752,959,041/84,709
  6. Step 6: Final answer
    x = 150,550.23

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.