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Finding the Third Proportional to 309,362 and 655,330

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Solution

The third proportional to 309,362 and 655,330 is: 1,388,203.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,362 : 655,330 = 655,330 : x
  2. Step 2: Convert to fraction form
    309,362/655,330 = 655,330/x
  3. Step 3: Cross multiply
    309,362x = 655,330 × 655,330
  4. Step 4: Simplify right side
    309,362x = 429,457,408,900
  5. Step 5: Solve for x
    x = 429,457,408,900/309,362
  6. Step 6: Final answer
    x = 1,388,203.49

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.