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Finding the Third Proportional to 144,986 and 216,804

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Solution

The third proportional to 144,986 and 216,804 is: 324,196.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,986 : 216,804 = 216,804 : x
  2. Step 2: Convert to fraction form
    144,986/216,804 = 216,804/x
  3. Step 3: Cross multiply
    144,986x = 216,804 × 216,804
  4. Step 4: Simplify right side
    144,986x = 47,003,974,416
  5. Step 5: Solve for x
    x = 47,003,974,416/144,986
  6. Step 6: Final answer
    x = 324,196.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.