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Finding the Third Proportional to 306,824 and 656,296

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Solution

The third proportional to 306,824 and 656,296 is: 1,403,816.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,824 : 656,296 = 656,296 : x
  2. Step 2: Convert to fraction form
    306,824/656,296 = 656,296/x
  3. Step 3: Cross multiply
    306,824x = 656,296 × 656,296
  4. Step 4: Simplify right side
    306,824x = 430,724,439,616
  5. Step 5: Solve for x
    x = 430,724,439,616/306,824
  6. Step 6: Final answer
    x = 1,403,816.00

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.