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Finding the Third Proportional to 98,728 and 144,405

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Solution

The third proportional to 98,728 and 144,405 is: 211,214.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,728 : 144,405 = 144,405 : x
  2. Step 2: Convert to fraction form
    98,728/144,405 = 144,405/x
  3. Step 3: Cross multiply
    98,728x = 144,405 × 144,405
  4. Step 4: Simplify right side
    98,728x = 20,852,804,025
  5. Step 5: Solve for x
    x = 20,852,804,025/98,728
  6. Step 6: Final answer
    x = 211,214.69

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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.