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Finding the Third Proportional to 216,576 and 320,598

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Solution

The third proportional to 216,576 and 320,598 is: 474,582.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,576 : 320,598 = 320,598 : x
  2. Step 2: Convert to fraction form
    216,576/320,598 = 320,598/x
  3. Step 3: Cross multiply
    216,576x = 320,598 × 320,598
  4. Step 4: Simplify right side
    216,576x = 102,783,077,604
  5. Step 5: Solve for x
    x = 102,783,077,604/216,576
  6. Step 6: Final answer
    x = 474,582.03

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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.