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Finding the Third Proportional to 309,977 and 657,153

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Solution

The third proportional to 309,977 and 657,153 is: 1,393,168.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,977 : 657,153 = 657,153 : x
  2. Step 2: Convert to fraction form
    309,977/657,153 = 657,153/x
  3. Step 3: Cross multiply
    309,977x = 657,153 × 657,153
  4. Step 4: Simplify right side
    309,977x = 431,850,065,409
  5. Step 5: Solve for x
    x = 431,850,065,409/309,977
  6. Step 6: Final answer
    x = 1,393,168.09

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.