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Finding the Third Proportional to 84,520.25 and 120,856.25

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Solution

The third proportional to 84,520.25 and 120,856.25 is: 172,813.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,520.25 : 120,856.25 = 120,856.25 : x
  2. Step 2: Convert to fraction form
    84,520.25/120,856.25 = 120,856.25/x
  3. Step 3: Cross multiply
    84,520.25x = 120,856.25 × 120,856.25
  4. Step 4: Simplify right side
    84,520.25x = 14,606,233,164.06
  5. Step 5: Solve for x
    x = 14,606,233,164.06/84,520.25
  6. Step 6: Final answer
    x = 172,813.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.