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Finding the Third Proportional to 210,906 and 300,579.75

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Solution

The third proportional to 210,906 and 300,579.75 is: 428,381.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,906 : 300,579.75 = 300,579.75 : x
  2. Step 2: Convert to fraction form
    210,906/300,579.75 = 300,579.75/x
  3. Step 3: Cross multiply
    210,906x = 300,579.75 × 300,579.75
  4. Step 4: Simplify right side
    210,906x = 90,348,186,110.06
  5. Step 5: Solve for x
    x = 90,348,186,110.06/210,906
  6. Step 6: Final answer
    x = 428,381.30

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.