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Finding the Third Proportional to 328,128 and 482,976

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Solution

The third proportional to 328,128 and 482,976 is: 710,898.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,128 : 482,976 = 482,976 : x
  2. Step 2: Convert to fraction form
    328,128/482,976 = 482,976/x
  3. Step 3: Cross multiply
    328,128x = 482,976 × 482,976
  4. Step 4: Simplify right side
    328,128x = 233,265,816,576
  5. Step 5: Solve for x
    x = 233,265,816,576/328,128
  6. Step 6: Final answer
    x = 710,898.85

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.