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Finding the Third Proportional to 309,220 and 665,185

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Solution

The third proportional to 309,220 and 665,185 is: 1,430,926.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,220 : 665,185 = 665,185 : x
  2. Step 2: Convert to fraction form
    309,220/665,185 = 665,185/x
  3. Step 3: Cross multiply
    309,220x = 665,185 × 665,185
  4. Step 4: Simplify right side
    309,220x = 442,471,084,225
  5. Step 5: Solve for x
    x = 442,471,084,225/309,220
  6. Step 6: Final answer
    x = 1,430,926.47

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.