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Finding the Third Proportional to 391,927.50 and 858,559.50

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Solution

The third proportional to 391,927.50 and 858,559.50 is: 1,880,767.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,927.50 : 858,559.50 = 858,559.50 : x
  2. Step 2: Convert to fraction form
    391,927.50/858,559.50 = 858,559.50/x
  3. Step 3: Cross multiply
    391,927.50x = 858,559.50 × 858,559.50
  4. Step 4: Simplify right side
    391,927.50x = 737,124,415,040.25
  5. Step 5: Solve for x
    x = 737,124,415,040.25/391,927.50
  6. Step 6: Final answer
    x = 1,880,767.27

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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.