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Finding the Third Proportional to 308,085 and 412,089.75

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Solution

The third proportional to 308,085 and 412,089.75 is: 551,204.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,085 : 412,089.75 = 412,089.75 : x
  2. Step 2: Convert to fraction form
    308,085/412,089.75 = 412,089.75/x
  3. Step 3: Cross multiply
    308,085x = 412,089.75 × 412,089.75
  4. Step 4: Simplify right side
    308,085x = 169,817,962,055.06
  5. Step 5: Solve for x
    x = 169,817,962,055.06/308,085
  6. Step 6: Final answer
    x = 551,204.90

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.