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Finding the Third Proportional to 328,518 and 474,732

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Solution

The third proportional to 328,518 and 474,732 is: 686,021.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,518 : 474,732 = 474,732 : x
  2. Step 2: Convert to fraction form
    328,518/474,732 = 474,732/x
  3. Step 3: Cross multiply
    328,518x = 474,732 × 474,732
  4. Step 4: Simplify right side
    328,518x = 225,370,471,824
  5. Step 5: Solve for x
    x = 225,370,471,824/328,518
  6. Step 6: Final answer
    x = 686,021.68

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.