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Finding the Third Proportional to 117,328 and 257,174

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Solution

The third proportional to 117,328 and 257,174 is: 563,705.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,328 : 257,174 = 257,174 : x
  2. Step 2: Convert to fraction form
    117,328/257,174 = 257,174/x
  3. Step 3: Cross multiply
    117,328x = 257,174 × 257,174
  4. Step 4: Simplify right side
    117,328x = 66,138,466,276
  5. Step 5: Solve for x
    x = 66,138,466,276/117,328
  6. Step 6: Final answer
    x = 563,705.73

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.