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Finding the Third Proportional to 310,159 and 671,843

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Solution

The third proportional to 310,159 and 671,843 is: 1,455,295.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,159 : 671,843 = 671,843 : x
  2. Step 2: Convert to fraction form
    310,159/671,843 = 671,843/x
  3. Step 3: Cross multiply
    310,159x = 671,843 × 671,843
  4. Step 4: Simplify right side
    310,159x = 451,373,016,649
  5. Step 5: Solve for x
    x = 451,373,016,649/310,159
  6. Step 6: Final answer
    x = 1,455,295.56

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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.