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Finding the Third Proportional to 30,724 and 62,732

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Solution

The third proportional to 30,724 and 62,732 is: 128,085.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,724 : 62,732 = 62,732 : x
  2. Step 2: Convert to fraction form
    30,724/62,732 = 62,732/x
  3. Step 3: Cross multiply
    30,724x = 62,732 × 62,732
  4. Step 4: Simplify right side
    30,724x = 3,935,303,824
  5. Step 5: Solve for x
    x = 3,935,303,824/30,724
  6. Step 6: Final answer
    x = 128,085.66

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.