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Finding the Third Proportional to 431,302 and 652,997

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Solution

The third proportional to 431,302 and 652,997 is: 988,646.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,302 : 652,997 = 652,997 : x
  2. Step 2: Convert to fraction form
    431,302/652,997 = 652,997/x
  3. Step 3: Cross multiply
    431,302x = 652,997 × 652,997
  4. Step 4: Simplify right side
    431,302x = 426,405,082,009
  5. Step 5: Solve for x
    x = 426,405,082,009/431,302
  6. Step 6: Final answer
    x = 988,646.20

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.