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Finding the Third Proportional to 305,923.50 and 656,130.38

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Solution

The third proportional to 305,923.50 and 656,130.38 is: 1,407,237.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,923.50 : 656,130.38 = 656,130.38 : x
  2. Step 2: Convert to fraction form
    305,923.50/656,130.38 = 656,130.38/x
  3. Step 3: Cross multiply
    305,923.50x = 656,130.38 × 656,130.38
  4. Step 4: Simplify right side
    305,923.50x = 430,507,068,997.64
  5. Step 5: Solve for x
    x = 430,507,068,997.64/305,923.50
  6. Step 6: Final answer
    x = 1,407,237.66

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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.