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Finding the Third Proportional to 213,303 and 457,710

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Solution

The third proportional to 213,303 and 457,710 is: 982,163.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,303 : 457,710 = 457,710 : x
  2. Step 2: Convert to fraction form
    213,303/457,710 = 457,710/x
  3. Step 3: Cross multiply
    213,303x = 457,710 × 457,710
  4. Step 4: Simplify right side
    213,303x = 209,498,444,100
  5. Step 5: Solve for x
    x = 209,498,444,100/213,303
  6. Step 6: Final answer
    x = 982,163.61

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.