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Finding the Third Proportional to 309,216 and 669,600

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Solution

The third proportional to 309,216 and 669,600 is: 1,450,003.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,216 : 669,600 = 669,600 : x
  2. Step 2: Convert to fraction form
    309,216/669,600 = 669,600/x
  3. Step 3: Cross multiply
    309,216x = 669,600 × 669,600
  4. Step 4: Simplify right side
    309,216x = 448,364,160,000
  5. Step 5: Solve for x
    x = 448,364,160,000/309,216
  6. Step 6: Final answer
    x = 1,450,003.10

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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.