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Finding the Third Proportional to 300,128 and 656,024

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Solution

The third proportional to 300,128 and 656,024 is: 1,433,946.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,128 : 656,024 = 656,024 : x
  2. Step 2: Convert to fraction form
    300,128/656,024 = 656,024/x
  3. Step 3: Cross multiply
    300,128x = 656,024 × 656,024
  4. Step 4: Simplify right side
    300,128x = 430,367,488,576
  5. Step 5: Solve for x
    x = 430,367,488,576/300,128
  6. Step 6: Final answer
    x = 1,433,946.48

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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.