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Finding the Third Proportional to 305,130 and 443,844

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Solution

The third proportional to 305,130 and 443,844 is: 645,618.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,130 : 443,844 = 443,844 : x
  2. Step 2: Convert to fraction form
    305,130/443,844 = 443,844/x
  3. Step 3: Cross multiply
    305,130x = 443,844 × 443,844
  4. Step 4: Simplify right side
    305,130x = 196,997,496,336
  5. Step 5: Solve for x
    x = 196,997,496,336/305,130
  6. Step 6: Final answer
    x = 645,618.25

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.