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Finding the Third Proportional to 69,905 and 144,634

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Solution

The third proportional to 69,905 and 144,634 is: 299,248.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,905 : 144,634 = 144,634 : x
  2. Step 2: Convert to fraction form
    69,905/144,634 = 144,634/x
  3. Step 3: Cross multiply
    69,905x = 144,634 × 144,634
  4. Step 4: Simplify right side
    69,905x = 20,918,993,956
  5. Step 5: Solve for x
    x = 20,918,993,956/69,905
  6. Step 6: Final answer
    x = 299,248.89

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.