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Finding the Third Proportional to 305,922.38 and 656,130.38

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Solution

The third proportional to 305,922.38 and 656,130.38 is: 1,407,242.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,922.38 : 656,130.38 = 656,130.38 : x
  2. Step 2: Convert to fraction form
    305,922.38/656,130.38 = 656,130.38/x
  3. Step 3: Cross multiply
    305,922.38x = 656,130.38 × 656,130.38
  4. Step 4: Simplify right side
    305,922.38x = 430,507,068,997.64
  5. Step 5: Solve for x
    x = 430,507,068,997.64/305,922.38
  6. Step 6: Final answer
    x = 1,407,242.83

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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.