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Finding the Third Proportional to 392,122.69 and 858,048.19

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Solution

The third proportional to 392,122.69 and 858,048.19 is: 1,877,592.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,122.69 : 858,048.19 = 858,048.19 : x
  2. Step 2: Convert to fraction form
    392,122.69/858,048.19 = 858,048.19/x
  3. Step 3: Cross multiply
    392,122.69x = 858,048.19 × 858,048.19
  4. Step 4: Simplify right side
    392,122.69x = 736,246,692,072.04
  5. Step 5: Solve for x
    x = 736,246,692,072.04/392,122.69
  6. Step 6: Final answer
    x = 1,877,592.69

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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.