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Finding the Third Proportional to 309,110 and 659,046

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Solution

The third proportional to 309,110 and 659,046 is: 1,405,136.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,110 : 659,046 = 659,046 : x
  2. Step 2: Convert to fraction form
    309,110/659,046 = 659,046/x
  3. Step 3: Cross multiply
    309,110x = 659,046 × 659,046
  4. Step 4: Simplify right side
    309,110x = 434,341,630,116
  5. Step 5: Solve for x
    x = 434,341,630,116/309,110
  6. Step 6: Final answer
    x = 1,405,136.13

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.