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Finding the Third Proportional to 314,463 and 678,741

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Solution

The third proportional to 314,463 and 678,741 is: 1,465,003.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,463 : 678,741 = 678,741 : x
  2. Step 2: Convert to fraction form
    314,463/678,741 = 678,741/x
  3. Step 3: Cross multiply
    314,463x = 678,741 × 678,741
  4. Step 4: Simplify right side
    314,463x = 460,689,345,081
  5. Step 5: Solve for x
    x = 460,689,345,081/314,463
  6. Step 6: Final answer
    x = 1,465,003.34

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.