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Finding the Third Proportional to 355,590 and 856,939.50

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Solution

The third proportional to 355,590 and 856,939.50 is: 2,065,146.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,590 : 856,939.50 = 856,939.50 : x
  2. Step 2: Convert to fraction form
    355,590/856,939.50 = 856,939.50/x
  3. Step 3: Cross multiply
    355,590x = 856,939.50 × 856,939.50
  4. Step 4: Simplify right side
    355,590x = 734,345,306,660.25
  5. Step 5: Solve for x
    x = 734,345,306,660.25/355,590
  6. Step 6: Final answer
    x = 2,065,146.11

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.