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Finding the Third Proportional to 210,327 and 456,009

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Solution

The third proportional to 210,327 and 456,009 is: 988,671.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,327 : 456,009 = 456,009 : x
  2. Step 2: Convert to fraction form
    210,327/456,009 = 456,009/x
  3. Step 3: Cross multiply
    210,327x = 456,009 × 456,009
  4. Step 4: Simplify right side
    210,327x = 207,944,208,081
  5. Step 5: Solve for x
    x = 207,944,208,081/210,327
  6. Step 6: Final answer
    x = 988,671.01

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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.