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Finding the Third Proportional to 309,460 and 669,176

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Solution

The third proportional to 309,460 and 669,176 is: 1,447,025.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,460 : 669,176 = 669,176 : x
  2. Step 2: Convert to fraction form
    309,460/669,176 = 669,176/x
  3. Step 3: Cross multiply
    309,460x = 669,176 × 669,176
  4. Step 4: Simplify right side
    309,460x = 447,796,518,976
  5. Step 5: Solve for x
    x = 447,796,518,976/309,460
  6. Step 6: Final answer
    x = 1,447,025.53

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.