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Finding the Third Proportional to 98,802 and 144,477

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Solution

The third proportional to 98,802 and 144,477 is: 211,267.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,802 : 144,477 = 144,477 : x
  2. Step 2: Convert to fraction form
    98,802/144,477 = 144,477/x
  3. Step 3: Cross multiply
    98,802x = 144,477 × 144,477
  4. Step 4: Simplify right side
    98,802x = 20,873,603,529
  5. Step 5: Solve for x
    x = 20,873,603,529/98,802
  6. Step 6: Final answer
    x = 211,267.01

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.