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Finding the Third Proportional to 103,712 and 202,240

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Solution

The third proportional to 103,712 and 202,240 is: 394,371.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,712 : 202,240 = 202,240 : x
  2. Step 2: Convert to fraction form
    103,712/202,240 = 202,240/x
  3. Step 3: Cross multiply
    103,712x = 202,240 × 202,240
  4. Step 4: Simplify right side
    103,712x = 40,901,017,600
  5. Step 5: Solve for x
    x = 40,901,017,600/103,712
  6. Step 6: Final answer
    x = 394,371.12

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.