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Finding the Third Proportional to 3,143,520 and 4,733,640

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Solution

The third proportional to 3,143,520 and 4,733,640 is: 7,128,107.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,143,520 : 4,733,640 = 4,733,640 : x
  2. Step 2: Convert to fraction form
    3,143,520/4,733,640 = 4,733,640/x
  3. Step 3: Cross multiply
    3,143,520x = 4,733,640 × 4,733,640
  4. Step 4: Simplify right side
    3,143,520x = 22,407,347,649,600
  5. Step 5: Solve for x
    x = 22,407,347,649,600/3,143,520
  6. Step 6: Final answer
    x = 7,128,107.23

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.