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Finding the Third Proportional to 358,728 and 538,944

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Solution

The third proportional to 358,728 and 538,944 is: 809,696.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,728 : 538,944 = 538,944 : x
  2. Step 2: Convert to fraction form
    358,728/538,944 = 538,944/x
  3. Step 3: Cross multiply
    358,728x = 538,944 × 538,944
  4. Step 4: Simplify right side
    358,728x = 290,460,635,136
  5. Step 5: Solve for x
    x = 290,460,635,136/358,728
  6. Step 6: Final answer
    x = 809,696.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.