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Finding the Third Proportional to 306,384 and 669,664

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Solution

The third proportional to 306,384 and 669,664 is: 1,463,685.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,384 : 669,664 = 669,664 : x
  2. Step 2: Convert to fraction form
    306,384/669,664 = 669,664/x
  3. Step 3: Cross multiply
    306,384x = 669,664 × 669,664
  4. Step 4: Simplify right side
    306,384x = 448,449,872,896
  5. Step 5: Solve for x
    x = 448,449,872,896/306,384
  6. Step 6: Final answer
    x = 1,463,685.68

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.