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Finding the Third Proportional to 314,494 and 678,775

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Solution

The third proportional to 314,494 and 678,775 is: 1,465,005.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,494 : 678,775 = 678,775 : x
  2. Step 2: Convert to fraction form
    314,494/678,775 = 678,775/x
  3. Step 3: Cross multiply
    314,494x = 678,775 × 678,775
  4. Step 4: Simplify right side
    314,494x = 460,735,500,625
  5. Step 5: Solve for x
    x = 460,735,500,625/314,494
  6. Step 6: Final answer
    x = 1,465,005.69

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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.