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Finding the Third Proportional to 210,061 and 322,878

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Solution

The third proportional to 210,061 and 322,878 is: 496,285.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,061 : 322,878 = 322,878 : x
  2. Step 2: Convert to fraction form
    210,061/322,878 = 322,878/x
  3. Step 3: Cross multiply
    210,061x = 322,878 × 322,878
  4. Step 4: Simplify right side
    210,061x = 104,250,202,884
  5. Step 5: Solve for x
    x = 104,250,202,884/210,061
  6. Step 6: Final answer
    x = 496,285.38

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.