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Finding the Third Proportional to 223,056 and 456,984

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Solution

The third proportional to 223,056 and 456,984 is: 936,241.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,056 : 456,984 = 456,984 : x
  2. Step 2: Convert to fraction form
    223,056/456,984 = 456,984/x
  3. Step 3: Cross multiply
    223,056x = 456,984 × 456,984
  4. Step 4: Simplify right side
    223,056x = 208,834,376,256
  5. Step 5: Solve for x
    x = 208,834,376,256/223,056
  6. Step 6: Final answer
    x = 936,241.91

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.