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Finding the Third Proportional to 300,130 and 656,028

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Solution

The third proportional to 300,130 and 656,028 is: 1,433,954.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,130 : 656,028 = 656,028 : x
  2. Step 2: Convert to fraction form
    300,130/656,028 = 656,028/x
  3. Step 3: Cross multiply
    300,130x = 656,028 × 656,028
  4. Step 4: Simplify right side
    300,130x = 430,372,736,784
  5. Step 5: Solve for x
    x = 430,372,736,784/300,130
  6. Step 6: Final answer
    x = 1,433,954.41

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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.