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Finding the Third Proportional to 163,136 and 361,210

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Solution

The third proportional to 163,136 and 361,210 is: 799,778.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,136 : 361,210 = 361,210 : x
  2. Step 2: Convert to fraction form
    163,136/361,210 = 361,210/x
  3. Step 3: Cross multiply
    163,136x = 361,210 × 361,210
  4. Step 4: Simplify right side
    163,136x = 130,472,664,100
  5. Step 5: Solve for x
    x = 130,472,664,100/163,136
  6. Step 6: Final answer
    x = 799,778.49

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.