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Finding the Third Proportional to 61,678 and 127,732

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Solution

The third proportional to 61,678 and 127,732 is: 264,526.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,678 : 127,732 = 127,732 : x
  2. Step 2: Convert to fraction form
    61,678/127,732 = 127,732/x
  3. Step 3: Cross multiply
    61,678x = 127,732 × 127,732
  4. Step 4: Simplify right side
    61,678x = 16,315,463,824
  5. Step 5: Solve for x
    x = 16,315,463,824/61,678
  6. Step 6: Final answer
    x = 264,526.47

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.