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Finding the Third Proportional to 68,388 and 103,502

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Solution

The third proportional to 68,388 and 103,502 is: 156,645.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,388 : 103,502 = 103,502 : x
  2. Step 2: Convert to fraction form
    68,388/103,502 = 103,502/x
  3. Step 3: Cross multiply
    68,388x = 103,502 × 103,502
  4. Step 4: Simplify right side
    68,388x = 10,712,664,004
  5. Step 5: Solve for x
    x = 10,712,664,004/68,388
  6. Step 6: Final answer
    x = 156,645.38

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.