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Finding the Third Proportional to 74,295 and 144,864

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Solution

The third proportional to 74,295 and 144,864 is: 282,462.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,295 : 144,864 = 144,864 : x
  2. Step 2: Convert to fraction form
    74,295/144,864 = 144,864/x
  3. Step 3: Cross multiply
    74,295x = 144,864 × 144,864
  4. Step 4: Simplify right side
    74,295x = 20,985,578,496
  5. Step 5: Solve for x
    x = 20,985,578,496/74,295
  6. Step 6: Final answer
    x = 282,462.86

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.