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Finding the Third Proportional to 274,859 and 591,270

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Solution

The third proportional to 274,859 and 591,270 is: 1,271,925.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,859 : 591,270 = 591,270 : x
  2. Step 2: Convert to fraction form
    274,859/591,270 = 591,270/x
  3. Step 3: Cross multiply
    274,859x = 591,270 × 591,270
  4. Step 4: Simplify right side
    274,859x = 349,600,212,900
  5. Step 5: Solve for x
    x = 349,600,212,900/274,859
  6. Step 6: Final answer
    x = 1,271,925.65

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.