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Finding the Third Proportional to 314,256 and 678,714

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Solution

The third proportional to 314,256 and 678,714 is: 1,465,851.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,256 : 678,714 = 678,714 : x
  2. Step 2: Convert to fraction form
    314,256/678,714 = 678,714/x
  3. Step 3: Cross multiply
    314,256x = 678,714 × 678,714
  4. Step 4: Simplify right side
    314,256x = 460,652,693,796
  5. Step 5: Solve for x
    x = 460,652,693,796/314,256
  6. Step 6: Final answer
    x = 1,465,851.71

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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.