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Finding the Third Proportional to 306,836 and 669,454

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Solution

The third proportional to 306,836 and 669,454 is: 1,460,613.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,836 : 669,454 = 669,454 : x
  2. Step 2: Convert to fraction form
    306,836/669,454 = 669,454/x
  3. Step 3: Cross multiply
    306,836x = 669,454 × 669,454
  4. Step 4: Simplify right side
    306,836x = 448,168,658,116
  5. Step 5: Solve for x
    x = 448,168,658,116/306,836
  6. Step 6: Final answer
    x = 1,460,613.02

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.