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Finding the Third Proportional to 308,136 and 646,080

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Solution

The third proportional to 308,136 and 646,080 is: 1,354,659.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,136 : 646,080 = 646,080 : x
  2. Step 2: Convert to fraction form
    308,136/646,080 = 646,080/x
  3. Step 3: Cross multiply
    308,136x = 646,080 × 646,080
  4. Step 4: Simplify right side
    308,136x = 417,419,366,400
  5. Step 5: Solve for x
    x = 417,419,366,400/308,136
  6. Step 6: Final answer
    x = 1,354,659.52

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.