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Finding the Third Proportional to 306,844 and 669,470

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Solution

The third proportional to 306,844 and 669,470 is: 1,460,644.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,844 : 669,470 = 669,470 : x
  2. Step 2: Convert to fraction form
    306,844/669,470 = 669,470/x
  3. Step 3: Cross multiply
    306,844x = 669,470 × 669,470
  4. Step 4: Simplify right side
    306,844x = 448,190,080,900
  5. Step 5: Solve for x
    x = 448,190,080,900/306,844
  6. Step 6: Final answer
    x = 1,460,644.76

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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.