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Finding the Third Proportional to 223,945 and 487,254

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Solution

The third proportional to 223,945 and 487,254 is: 1,060,155.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,945 : 487,254 = 487,254 : x
  2. Step 2: Convert to fraction form
    223,945/487,254 = 487,254/x
  3. Step 3: Cross multiply
    223,945x = 487,254 × 487,254
  4. Step 4: Simplify right side
    223,945x = 237,416,460,516
  5. Step 5: Solve for x
    x = 237,416,460,516/223,945
  6. Step 6: Final answer
    x = 1,060,155.22

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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.