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Finding the Third Proportional to 210,803 and 308,317

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Solution

The third proportional to 210,803 and 308,317 is: 450,939.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,803 : 308,317 = 308,317 : x
  2. Step 2: Convert to fraction form
    210,803/308,317 = 308,317/x
  3. Step 3: Cross multiply
    210,803x = 308,317 × 308,317
  4. Step 4: Simplify right side
    210,803x = 95,059,372,489
  5. Step 5: Solve for x
    x = 95,059,372,489/210,803
  6. Step 6: Final answer
    x = 450,939.37

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.