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Finding the Third Proportional to 385,176.50 and 858,865.50

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Solution

The third proportional to 385,176.50 and 858,865.50 is: 1,915,095.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,176.50 : 858,865.50 = 858,865.50 : x
  2. Step 2: Convert to fraction form
    385,176.50/858,865.50 = 858,865.50/x
  3. Step 3: Cross multiply
    385,176.50x = 858,865.50 × 858,865.50
  4. Step 4: Simplify right side
    385,176.50x = 737,649,947,090.25
  5. Step 5: Solve for x
    x = 737,649,947,090.25/385,176.50
  6. Step 6: Final answer
    x = 1,915,095.93

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.