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Finding the Third Proportional to 180,258 and 274,275

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Solution

The third proportional to 180,258 and 274,275 is: 417,328.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,258 : 274,275 = 274,275 : x
  2. Step 2: Convert to fraction form
    180,258/274,275 = 274,275/x
  3. Step 3: Cross multiply
    180,258x = 274,275 × 274,275
  4. Step 4: Simplify right side
    180,258x = 75,226,775,625
  5. Step 5: Solve for x
    x = 75,226,775,625/180,258
  6. Step 6: Final answer
    x = 417,328.36

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.