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Finding the Third Proportional to 319,147 and 472,558

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Solution

The third proportional to 319,147 and 472,558 is: 699,712.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,147 : 472,558 = 472,558 : x
  2. Step 2: Convert to fraction form
    319,147/472,558 = 472,558/x
  3. Step 3: Cross multiply
    319,147x = 472,558 × 472,558
  4. Step 4: Simplify right side
    319,147x = 223,311,063,364
  5. Step 5: Solve for x
    x = 223,311,063,364/319,147
  6. Step 6: Final answer
    x = 699,712.24

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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.