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Finding the Third Proportional to 177,342 and 389,136

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Solution

The third proportional to 177,342 and 389,136 is: 853,868.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,342 : 389,136 = 389,136 : x
  2. Step 2: Convert to fraction form
    177,342/389,136 = 389,136/x
  3. Step 3: Cross multiply
    177,342x = 389,136 × 389,136
  4. Step 4: Simplify right side
    177,342x = 151,426,826,496
  5. Step 5: Solve for x
    x = 151,426,826,496/177,342
  6. Step 6: Final answer
    x = 853,868.95

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.