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Finding the Third Proportional to 192,136 and 418,724

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Solution

The third proportional to 192,136 and 418,724 is: 912,529.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,136 : 418,724 = 418,724 : x
  2. Step 2: Convert to fraction form
    192,136/418,724 = 418,724/x
  3. Step 3: Cross multiply
    192,136x = 418,724 × 418,724
  4. Step 4: Simplify right side
    192,136x = 175,329,788,176
  5. Step 5: Solve for x
    x = 175,329,788,176/192,136
  6. Step 6: Final answer
    x = 912,529.60

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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.