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Finding the Third Proportional to 318,430 and 511,322

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Solution

The third proportional to 318,430 and 511,322 is: 821,060.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,430 : 511,322 = 511,322 : x
  2. Step 2: Convert to fraction form
    318,430/511,322 = 511,322/x
  3. Step 3: Cross multiply
    318,430x = 511,322 × 511,322
  4. Step 4: Simplify right side
    318,430x = 261,450,187,684
  5. Step 5: Solve for x
    x = 261,450,187,684/318,430
  6. Step 6: Final answer
    x = 821,060.16

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.