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Finding the Third Proportional to 177,804 and 386,136

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Solution

The third proportional to 177,804 and 386,136 is: 838,569.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,804 : 386,136 = 386,136 : x
  2. Step 2: Convert to fraction form
    177,804/386,136 = 386,136/x
  3. Step 3: Cross multiply
    177,804x = 386,136 × 386,136
  4. Step 4: Simplify right side
    177,804x = 149,101,010,496
  5. Step 5: Solve for x
    x = 149,101,010,496/177,804
  6. Step 6: Final answer
    x = 838,569.50

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.