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Finding the Third Proportional to 224,560 and 480,236

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Solution

The third proportional to 224,560 and 480,236 is: 1,027,015.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,560 : 480,236 = 480,236 : x
  2. Step 2: Convert to fraction form
    224,560/480,236 = 480,236/x
  3. Step 3: Cross multiply
    224,560x = 480,236 × 480,236
  4. Step 4: Simplify right side
    224,560x = 230,626,615,696
  5. Step 5: Solve for x
    x = 230,626,615,696/224,560
  6. Step 6: Final answer
    x = 1,027,015.57

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.