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Finding the Third Proportional to 68,106 and 144,403

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Solution

The third proportional to 68,106 and 144,403 is: 306,173.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,106 : 144,403 = 144,403 : x
  2. Step 2: Convert to fraction form
    68,106/144,403 = 144,403/x
  3. Step 3: Cross multiply
    68,106x = 144,403 × 144,403
  4. Step 4: Simplify right side
    68,106x = 20,852,226,409
  5. Step 5: Solve for x
    x = 20,852,226,409/68,106
  6. Step 6: Final answer
    x = 306,173.12

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.