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Finding the Third Proportional to 274,101 and 660,339

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Solution

The third proportional to 274,101 and 660,339 is: 1,590,828.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,101 : 660,339 = 660,339 : x
  2. Step 2: Convert to fraction form
    274,101/660,339 = 660,339/x
  3. Step 3: Cross multiply
    274,101x = 660,339 × 660,339
  4. Step 4: Simplify right side
    274,101x = 436,047,594,921
  5. Step 5: Solve for x
    x = 436,047,594,921/274,101
  6. Step 6: Final answer
    x = 1,590,828.18

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.