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Finding the Third Proportional to 225,445 and 486,369

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Solution

The third proportional to 225,445 and 486,369 is: 1,049,279.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,445 : 486,369 = 486,369 : x
  2. Step 2: Convert to fraction form
    225,445/486,369 = 486,369/x
  3. Step 3: Cross multiply
    225,445x = 486,369 × 486,369
  4. Step 4: Simplify right side
    225,445x = 236,554,804,161
  5. Step 5: Solve for x
    x = 236,554,804,161/225,445
  6. Step 6: Final answer
    x = 1,049,279.44

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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.