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Finding the Third Proportional to 300,429 and 652,212

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Solution

The third proportional to 300,429 and 652,212 is: 1,415,910.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,429 : 652,212 = 652,212 : x
  2. Step 2: Convert to fraction form
    300,429/652,212 = 652,212/x
  3. Step 3: Cross multiply
    300,429x = 652,212 × 652,212
  4. Step 4: Simplify right side
    300,429x = 425,380,492,944
  5. Step 5: Solve for x
    x = 425,380,492,944/300,429
  6. Step 6: Final answer
    x = 1,415,910.22

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.