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Finding the Third Proportional to 140,805 and 312,714

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Solution

The third proportional to 140,805 and 312,714 is: 694,506.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,805 : 312,714 = 312,714 : x
  2. Step 2: Convert to fraction form
    140,805/312,714 = 312,714/x
  3. Step 3: Cross multiply
    140,805x = 312,714 × 312,714
  4. Step 4: Simplify right side
    140,805x = 97,790,045,796
  5. Step 5: Solve for x
    x = 97,790,045,796/140,805
  6. Step 6: Final answer
    x = 694,506.91

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.