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Finding the Third Proportional to 223,875 and 483,831

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Solution

The third proportional to 223,875 and 483,831 is: 1,045,639.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,875 : 483,831 = 483,831 : x
  2. Step 2: Convert to fraction form
    223,875/483,831 = 483,831/x
  3. Step 3: Cross multiply
    223,875x = 483,831 × 483,831
  4. Step 4: Simplify right side
    223,875x = 234,092,436,561
  5. Step 5: Solve for x
    x = 234,092,436,561/223,875
  6. Step 6: Final answer
    x = 1,045,639.02

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.