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Finding the Third Proportional to 321,878 and 472,965

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Solution

The third proportional to 321,878 and 472,965 is: 694,971.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,878 : 472,965 = 472,965 : x
  2. Step 2: Convert to fraction form
    321,878/472,965 = 472,965/x
  3. Step 3: Cross multiply
    321,878x = 472,965 × 472,965
  4. Step 4: Simplify right side
    321,878x = 223,695,891,225
  5. Step 5: Solve for x
    x = 223,695,891,225/321,878
  6. Step 6: Final answer
    x = 694,971.05

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.