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Finding the Third Proportional to 306,384 and 648,094

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Solution

The third proportional to 306,384 and 648,094 is: 1,370,913.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,384 : 648,094 = 648,094 : x
  2. Step 2: Convert to fraction form
    306,384/648,094 = 648,094/x
  3. Step 3: Cross multiply
    306,384x = 648,094 × 648,094
  4. Step 4: Simplify right side
    306,384x = 420,025,832,836
  5. Step 5: Solve for x
    x = 420,025,832,836/306,384
  6. Step 6: Final answer
    x = 1,370,913.08

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.