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Finding the Third Proportional to 128,136 and 195,364

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Solution

The third proportional to 128,136 and 195,364 is: 297,863.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,136 : 195,364 = 195,364 : x
  2. Step 2: Convert to fraction form
    128,136/195,364 = 195,364/x
  3. Step 3: Cross multiply
    128,136x = 195,364 × 195,364
  4. Step 4: Simplify right side
    128,136x = 38,167,092,496
  5. Step 5: Solve for x
    x = 38,167,092,496/128,136
  6. Step 6: Final answer
    x = 297,863.93

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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.