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Finding the Third Proportional to 298,991 and 463,431

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Solution

The third proportional to 298,991 and 463,431 is: 718,310.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,991 : 463,431 = 463,431 : x
  2. Step 2: Convert to fraction form
    298,991/463,431 = 463,431/x
  3. Step 3: Cross multiply
    298,991x = 463,431 × 463,431
  4. Step 4: Simplify right side
    298,991x = 214,768,291,761
  5. Step 5: Solve for x
    x = 214,768,291,761/298,991
  6. Step 6: Final answer
    x = 718,310.22

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.