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Finding the Third Proportional to 128,136 and 191,154

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Solution

The third proportional to 128,136 and 191,154 is: 285,164.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,136 : 191,154 = 191,154 : x
  2. Step 2: Convert to fraction form
    128,136/191,154 = 191,154/x
  3. Step 3: Cross multiply
    128,136x = 191,154 × 191,154
  4. Step 4: Simplify right side
    128,136x = 36,539,851,716
  5. Step 5: Solve for x
    x = 36,539,851,716/128,136
  6. Step 6: Final answer
    x = 285,164.60

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.