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Finding the Third Proportional to 219,480 and 324,576

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Solution

The third proportional to 219,480 and 324,576 is: 479,996.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,480 : 324,576 = 324,576 : x
  2. Step 2: Convert to fraction form
    219,480/324,576 = 324,576/x
  3. Step 3: Cross multiply
    219,480x = 324,576 × 324,576
  4. Step 4: Simplify right side
    219,480x = 105,349,579,776
  5. Step 5: Solve for x
    x = 105,349,579,776/219,480
  6. Step 6: Final answer
    x = 479,996.26

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.