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Finding the Third Proportional to 68,803 and 140,522

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Solution

The third proportional to 68,803 and 140,522 is: 286,999.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,803 : 140,522 = 140,522 : x
  2. Step 2: Convert to fraction form
    68,803/140,522 = 140,522/x
  3. Step 3: Cross multiply
    68,803x = 140,522 × 140,522
  4. Step 4: Simplify right side
    68,803x = 19,746,432,484
  5. Step 5: Solve for x
    x = 19,746,432,484/68,803
  6. Step 6: Final answer
    x = 286,999.59

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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.