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Finding the Third Proportional to 308,125 and 666,792

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Solution

The third proportional to 308,125 and 666,792 is: 1,442,958.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,125 : 666,792 = 666,792 : x
  2. Step 2: Convert to fraction form
    308,125/666,792 = 666,792/x
  3. Step 3: Cross multiply
    308,125x = 666,792 × 666,792
  4. Step 4: Simplify right side
    308,125x = 444,611,571,264
  5. Step 5: Solve for x
    x = 444,611,571,264/308,125
  6. Step 6: Final answer
    x = 1,442,958.45

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.