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Finding the Third Proportional to 251,136 and 351,968

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Solution

The third proportional to 251,136 and 351,968 is: 493,284.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,136 : 351,968 = 351,968 : x
  2. Step 2: Convert to fraction form
    251,136/351,968 = 351,968/x
  3. Step 3: Cross multiply
    251,136x = 351,968 × 351,968
  4. Step 4: Simplify right side
    251,136x = 123,881,473,024
  5. Step 5: Solve for x
    x = 123,881,473,024/251,136
  6. Step 6: Final answer
    x = 493,284.41

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.