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Finding the Third Proportional to 315,136.50 and 453,021

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Solution

The third proportional to 315,136.50 and 453,021 is: 651,235.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,136.50 : 453,021 = 453,021 : x
  2. Step 2: Convert to fraction form
    315,136.50/453,021 = 453,021/x
  3. Step 3: Cross multiply
    315,136.50x = 453,021 × 453,021
  4. Step 4: Simplify right side
    315,136.50x = 205,228,026,441
  5. Step 5: Solve for x
    x = 205,228,026,441/315,136.50
  6. Step 6: Final answer
    x = 651,235.34

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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.