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Finding the Third Proportional to 177,516 and 386,136

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Solution

The third proportional to 177,516 and 386,136 is: 839,929.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,516 : 386,136 = 386,136 : x
  2. Step 2: Convert to fraction form
    177,516/386,136 = 386,136/x
  3. Step 3: Cross multiply
    177,516x = 386,136 × 386,136
  4. Step 4: Simplify right side
    177,516x = 149,101,010,496
  5. Step 5: Solve for x
    x = 149,101,010,496/177,516
  6. Step 6: Final answer
    x = 839,929.98

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.