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Finding the Third Proportional to 213,603.75 and 300,520.13

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Solution

The third proportional to 213,603.75 and 300,520.13 is: 422,803.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,603.75 : 300,520.13 = 300,520.13 : x
  2. Step 2: Convert to fraction form
    213,603.75/300,520.13 = 300,520.13/x
  3. Step 3: Cross multiply
    213,603.75x = 300,520.13 × 300,520.13
  4. Step 4: Simplify right side
    213,603.75x = 90,312,345,530.02
  5. Step 5: Solve for x
    x = 90,312,345,530.02/213,603.75
  6. Step 6: Final answer
    x = 422,803.18

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.