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Finding the Third Proportional to 308,760 and 463,888

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Solution

The third proportional to 308,760 and 463,888 is: 696,955.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,760 : 463,888 = 463,888 : x
  2. Step 2: Convert to fraction form
    308,760/463,888 = 463,888/x
  3. Step 3: Cross multiply
    308,760x = 463,888 × 463,888
  4. Step 4: Simplify right side
    308,760x = 215,192,076,544
  5. Step 5: Solve for x
    x = 215,192,076,544/308,760
  6. Step 6: Final answer
    x = 696,955.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.