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Finding the Third Proportional to 319,195 and 472,630

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Solution

The third proportional to 319,195 and 472,630 is: 699,820.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,195 : 472,630 = 472,630 : x
  2. Step 2: Convert to fraction form
    319,195/472,630 = 472,630/x
  3. Step 3: Cross multiply
    319,195x = 472,630 × 472,630
  4. Step 4: Simplify right side
    319,195x = 223,379,116,900
  5. Step 5: Solve for x
    x = 223,379,116,900/319,195
  6. Step 6: Final answer
    x = 699,820.23

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.