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Finding the Third Proportional to 349,450 and 821,460

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Solution

The third proportional to 349,450 and 821,460 is: 1,931,024.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,450 : 821,460 = 821,460 : x
  2. Step 2: Convert to fraction form
    349,450/821,460 = 821,460/x
  3. Step 3: Cross multiply
    349,450x = 821,460 × 821,460
  4. Step 4: Simplify right side
    349,450x = 674,796,531,600
  5. Step 5: Solve for x
    x = 674,796,531,600/349,450
  6. Step 6: Final answer
    x = 1,931,024.56

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.