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Finding the Third Proportional to 186,723 and 409,728

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Solution

The third proportional to 186,723 and 409,728 is: 899,069.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,723 : 409,728 = 409,728 : x
  2. Step 2: Convert to fraction form
    186,723/409,728 = 409,728/x
  3. Step 3: Cross multiply
    186,723x = 409,728 × 409,728
  4. Step 4: Simplify right side
    186,723x = 167,877,033,984
  5. Step 5: Solve for x
    x = 167,877,033,984/186,723
  6. Step 6: Final answer
    x = 899,069.93

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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.