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Finding the Third Proportional to 856.69 and 1,415.81

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Solution

The third proportional to 856.69 and 1,415.81 is: 2,339.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.69 : 1,415.81 = 1,415.81 : x
  2. Step 2: Convert to fraction form
    856.69/1,415.81 = 1,415.81/x
  3. Step 3: Cross multiply
    856.69x = 1,415.81 × 1,415.81
  4. Step 4: Simplify right side
    856.69x = 2,004,525.04
  5. Step 5: Solve for x
    x = 2,004,525.04/856.69
  6. Step 6: Final answer
    x = 2,339.86

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.