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Finding the Third Proportional to 210,760 and 456,512

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Solution

The third proportional to 210,760 and 456,512 is: 988,817.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,760 : 456,512 = 456,512 : x
  2. Step 2: Convert to fraction form
    210,760/456,512 = 456,512/x
  3. Step 3: Cross multiply
    210,760x = 456,512 × 456,512
  4. Step 4: Simplify right side
    210,760x = 208,403,206,144
  5. Step 5: Solve for x
    x = 208,403,206,144/210,760
  6. Step 6: Final answer
    x = 988,817.64

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.