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Finding the Third Proportional to 852.40 and 1,864.27

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Solution

The third proportional to 852.40 and 1,864.27 is: 4,077.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.40 : 1,864.27 = 1,864.27 : x
  2. Step 2: Convert to fraction form
    852.40/1,864.27 = 1,864.27/x
  3. Step 3: Cross multiply
    852.40x = 1,864.27 × 1,864.27
  4. Step 4: Simplify right side
    852.40x = 3,475,486.32
  5. Step 5: Solve for x
    x = 3,475,486.32/852.40
  6. Step 6: Final answer
    x = 4,077.30

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.