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Finding the Third Proportional to 321,536 and 472,683

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Solution

The third proportional to 321,536 and 472,683 is: 694,880.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,536 : 472,683 = 472,683 : x
  2. Step 2: Convert to fraction form
    321,536/472,683 = 472,683/x
  3. Step 3: Cross multiply
    321,536x = 472,683 × 472,683
  4. Step 4: Simplify right side
    321,536x = 223,429,218,489
  5. Step 5: Solve for x
    x = 223,429,218,489/321,536
  6. Step 6: Final answer
    x = 694,880.88

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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.