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Finding the Third Proportional to 68,020 and 144,276

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Solution

The third proportional to 68,020 and 144,276 is: 306,021.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,020 : 144,276 = 144,276 : x
  2. Step 2: Convert to fraction form
    68,020/144,276 = 144,276/x
  3. Step 3: Cross multiply
    68,020x = 144,276 × 144,276
  4. Step 4: Simplify right side
    68,020x = 20,815,564,176
  5. Step 5: Solve for x
    x = 20,815,564,176/68,020
  6. Step 6: Final answer
    x = 306,021.23

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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.