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Finding the Third Proportional to 103,630 and 274,270

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Solution

The third proportional to 103,630 and 274,270 is: 725,890.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,630 : 274,270 = 274,270 : x
  2. Step 2: Convert to fraction form
    103,630/274,270 = 274,270/x
  3. Step 3: Cross multiply
    103,630x = 274,270 × 274,270
  4. Step 4: Simplify right side
    103,630x = 75,224,032,900
  5. Step 5: Solve for x
    x = 75,224,032,900/103,630
  6. Step 6: Final answer
    x = 725,890.50

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Why These Related Problems?

These problems maintain the same ratio (2.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.