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Finding the Third Proportional to 213,745.08 and 457,356.38

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Solution

The third proportional to 213,745.08 and 457,356.38 is: 978,618.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,745.08 : 457,356.38 = 457,356.38 : x
  2. Step 2: Convert to fraction form
    213,745.08/457,356.38 = 457,356.38/x
  3. Step 3: Cross multiply
    213,745.08x = 457,356.38 × 457,356.38
  4. Step 4: Simplify right side
    213,745.08x = 209,174,853,753.14
  5. Step 5: Solve for x
    x = 209,174,853,753.14/213,745.08
  6. Step 6: Final answer
    x = 978,618.34

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.