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Finding the Third Proportional to 242,930 and 512,266

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Solution

The third proportional to 242,930 and 512,266 is: 1,080,214.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,930 : 512,266 = 512,266 : x
  2. Step 2: Convert to fraction form
    242,930/512,266 = 512,266/x
  3. Step 3: Cross multiply
    242,930x = 512,266 × 512,266
  4. Step 4: Simplify right side
    242,930x = 262,416,454,756
  5. Step 5: Solve for x
    x = 262,416,454,756/242,930
  6. Step 6: Final answer
    x = 1,080,214.28

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.