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Finding the Third Proportional to 143,343 and 300,628.13

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Solution

The third proportional to 143,343 and 300,628.13 is: 630,496.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,343 : 300,628.13 = 300,628.13 : x
  2. Step 2: Convert to fraction form
    143,343/300,628.13 = 300,628.13/x
  3. Step 3: Cross multiply
    143,343x = 300,628.13 × 300,628.13
  4. Step 4: Simplify right side
    143,343x = 90,377,269,541.02
  5. Step 5: Solve for x
    x = 90,377,269,541.02/143,343
  6. Step 6: Final answer
    x = 630,496.57

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.