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Finding the Third Proportional to 248,090 and 517,172

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Solution

The third proportional to 248,090 and 517,172 is: 1,078,104.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,090 : 517,172 = 517,172 : x
  2. Step 2: Convert to fraction form
    248,090/517,172 = 517,172/x
  3. Step 3: Cross multiply
    248,090x = 517,172 × 517,172
  4. Step 4: Simplify right side
    248,090x = 267,466,877,584
  5. Step 5: Solve for x
    x = 267,466,877,584/248,090
  6. Step 6: Final answer
    x = 1,078,104.23

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.