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Finding the Third Proportional to 223,345 and 486,056

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Solution

The third proportional to 223,345 and 486,056 is: 1,057,782.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,345 : 486,056 = 486,056 : x
  2. Step 2: Convert to fraction form
    223,345/486,056 = 486,056/x
  3. Step 3: Cross multiply
    223,345x = 486,056 × 486,056
  4. Step 4: Simplify right side
    223,345x = 236,250,435,136
  5. Step 5: Solve for x
    x = 236,250,435,136/223,345
  6. Step 6: Final answer
    x = 1,057,782.51

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.