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Finding the Third Proportional to 379,016.63 and 829,247.81

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Solution

The third proportional to 379,016.63 and 829,247.81 is: 1,814,305.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,016.63 : 829,247.81 = 829,247.81 : x
  2. Step 2: Convert to fraction form
    379,016.63/829,247.81 = 829,247.81/x
  3. Step 3: Cross multiply
    379,016.63x = 829,247.81 × 829,247.81
  4. Step 4: Simplify right side
    379,016.63x = 687,651,934,536.04
  5. Step 5: Solve for x
    x = 687,651,934,536.04/379,016.63
  6. Step 6: Final answer
    x = 1,814,305.47

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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.