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Finding the Third Proportional to 299,289.75 and 656,784

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Solution

The third proportional to 299,289.75 and 656,784 is: 1,441,296.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,289.75 : 656,784 = 656,784 : x
  2. Step 2: Convert to fraction form
    299,289.75/656,784 = 656,784/x
  3. Step 3: Cross multiply
    299,289.75x = 656,784 × 656,784
  4. Step 4: Simplify right side
    299,289.75x = 431,365,222,656
  5. Step 5: Solve for x
    x = 431,365,222,656/299,289.75
  6. Step 6: Final answer
    x = 1,441,296.34

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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.