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Finding the Third Proportional to 213,136 and 307,918

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Solution

The third proportional to 213,136 and 307,918 is: 444,849.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,136 : 307,918 = 307,918 : x
  2. Step 2: Convert to fraction form
    213,136/307,918 = 307,918/x
  3. Step 3: Cross multiply
    213,136x = 307,918 × 307,918
  4. Step 4: Simplify right side
    213,136x = 94,813,494,724
  5. Step 5: Solve for x
    x = 94,813,494,724/213,136
  6. Step 6: Final answer
    x = 444,849.74

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.