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Finding the Third Proportional to 318,947 and 500,397

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Solution

The third proportional to 318,947 and 500,397 is: 785,074.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,947 : 500,397 = 500,397 : x
  2. Step 2: Convert to fraction form
    318,947/500,397 = 500,397/x
  3. Step 3: Cross multiply
    318,947x = 500,397 × 500,397
  4. Step 4: Simplify right side
    318,947x = 250,397,157,609
  5. Step 5: Solve for x
    x = 250,397,157,609/318,947
  6. Step 6: Final answer
    x = 785,074.50

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.