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Finding the Third Proportional to 305,908 and 656,089

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Solution

The third proportional to 305,908 and 656,089 is: 1,407,131.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,908 : 656,089 = 656,089 : x
  2. Step 2: Convert to fraction form
    305,908/656,089 = 656,089/x
  3. Step 3: Cross multiply
    305,908x = 656,089 × 656,089
  4. Step 4: Simplify right side
    305,908x = 430,452,775,921
  5. Step 5: Solve for x
    x = 430,452,775,921/305,908
  6. Step 6: Final answer
    x = 1,407,131.48

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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.