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Finding the Third Proportional to 674,121 and 1,431,345

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Solution

The third proportional to 674,121 and 1,431,345 is: 3,039,140.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    674,121 : 1,431,345 = 1,431,345 : x
  2. Step 2: Convert to fraction form
    674,121/1,431,345 = 1,431,345/x
  3. Step 3: Cross multiply
    674,121x = 1,431,345 × 1,431,345
  4. Step 4: Simplify right side
    674,121x = 2,048,748,509,025
  5. Step 5: Solve for x
    x = 2,048,748,509,025/674,121
  6. Step 6: Final answer
    x = 3,039,140.61

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.