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Finding the Third Proportional to 388,136 and 589,205

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Solution

The third proportional to 388,136 and 589,205 is: 894,435.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,136 : 589,205 = 589,205 : x
  2. Step 2: Convert to fraction form
    388,136/589,205 = 589,205/x
  3. Step 3: Cross multiply
    388,136x = 589,205 × 589,205
  4. Step 4: Simplify right side
    388,136x = 347,162,532,025
  5. Step 5: Solve for x
    x = 347,162,532,025/388,136
  6. Step 6: Final answer
    x = 894,435.28

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.