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Finding the Third Proportional to 223,490.63 and 489,495.38

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Solution

The third proportional to 223,490.63 and 489,495.38 is: 1,072,106.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,490.63 : 489,495.38 = 489,495.38 : x
  2. Step 2: Convert to fraction form
    223,490.63/489,495.38 = 489,495.38/x
  3. Step 3: Cross multiply
    223,490.63x = 489,495.38 × 489,495.38
  4. Step 4: Simplify right side
    223,490.63x = 239,605,722,146.39
  5. Step 5: Solve for x
    x = 239,605,722,146.39/223,490.63
  6. Step 6: Final answer
    x = 1,072,106.37

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.