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Finding the Third Proportional to 319,144 and 472,554

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Solution

The third proportional to 319,144 and 472,554 is: 699,706.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,144 : 472,554 = 472,554 : x
  2. Step 2: Convert to fraction form
    319,144/472,554 = 472,554/x
  3. Step 3: Cross multiply
    319,144x = 472,554 × 472,554
  4. Step 4: Simplify right side
    319,144x = 223,307,282,916
  5. Step 5: Solve for x
    x = 223,307,282,916/319,144
  6. Step 6: Final answer
    x = 699,706.98

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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.