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Finding the Third Proportional to 309,979 and 657,157

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Solution

The third proportional to 309,979 and 657,157 is: 1,393,176.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,979 : 657,157 = 657,157 : x
  2. Step 2: Convert to fraction form
    309,979/657,157 = 657,157/x
  3. Step 3: Cross multiply
    309,979x = 657,157 × 657,157
  4. Step 4: Simplify right side
    309,979x = 431,855,322,649
  5. Step 5: Solve for x
    x = 431,855,322,649/309,979
  6. Step 6: Final answer
    x = 1,393,176.06

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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.