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Finding the Third Proportional to 219,072 and 313,056

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Solution

The third proportional to 219,072 and 313,056 is: 447,360.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,072 : 313,056 = 313,056 : x
  2. Step 2: Convert to fraction form
    219,072/313,056 = 313,056/x
  3. Step 3: Cross multiply
    219,072x = 313,056 × 313,056
  4. Step 4: Simplify right side
    219,072x = 98,004,059,136
  5. Step 5: Solve for x
    x = 98,004,059,136/219,072
  6. Step 6: Final answer
    x = 447,360.04

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.