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Finding the Third Proportional to 388,946 and 496,947

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Solution

The third proportional to 388,946 and 496,947 is: 634,937.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,946 : 496,947 = 496,947 : x
  2. Step 2: Convert to fraction form
    388,946/496,947 = 496,947/x
  3. Step 3: Cross multiply
    388,946x = 496,947 × 496,947
  4. Step 4: Simplify right side
    388,946x = 246,956,320,809
  5. Step 5: Solve for x
    x = 246,956,320,809/388,946
  6. Step 6: Final answer
    x = 634,937.29

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.