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Finding the Third Proportional to 216,136.50 and 347,273.25

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Solution

The third proportional to 216,136.50 and 347,273.25 is: 557,974.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,136.50 : 347,273.25 = 347,273.25 : x
  2. Step 2: Convert to fraction form
    216,136.50/347,273.25 = 347,273.25/x
  3. Step 3: Cross multiply
    216,136.50x = 347,273.25 × 347,273.25
  4. Step 4: Simplify right side
    216,136.50x = 120,598,710,165.56
  5. Step 5: Solve for x
    x = 120,598,710,165.56/216,136.50
  6. Step 6: Final answer
    x = 557,974.75

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.