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Finding the Third Proportional to 233,140 and 512,936

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Solution

The third proportional to 233,140 and 512,936 is: 1,128,520.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,140 : 512,936 = 512,936 : x
  2. Step 2: Convert to fraction form
    233,140/512,936 = 512,936/x
  3. Step 3: Cross multiply
    233,140x = 512,936 × 512,936
  4. Step 4: Simplify right side
    233,140x = 263,103,340,096
  5. Step 5: Solve for x
    x = 263,103,340,096/233,140
  6. Step 6: Final answer
    x = 1,128,520.80

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.