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Finding the Third Proportional to 512,280 and 755,172

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Solution

The third proportional to 512,280 and 755,172 is: 1,113,228.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,280 : 755,172 = 755,172 : x
  2. Step 2: Convert to fraction form
    512,280/755,172 = 755,172/x
  3. Step 3: Cross multiply
    512,280x = 755,172 × 755,172
  4. Step 4: Simplify right side
    512,280x = 570,284,749,584
  5. Step 5: Solve for x
    x = 570,284,749,584/512,280
  6. Step 6: Final answer
    x = 1,113,228.60

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.