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Finding the Third Proportional to 145,812 and 303,256

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Solution

The third proportional to 145,812 and 303,256 is: 630,703.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,812 : 303,256 = 303,256 : x
  2. Step 2: Convert to fraction form
    145,812/303,256 = 303,256/x
  3. Step 3: Cross multiply
    145,812x = 303,256 × 303,256
  4. Step 4: Simplify right side
    145,812x = 91,964,201,536
  5. Step 5: Solve for x
    x = 91,964,201,536/145,812
  6. Step 6: Final answer
    x = 630,703.93

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.