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Finding the Third Proportional to 98,639 and 213,045

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Solution

The third proportional to 98,639 and 213,045 is: 460,144.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,639 : 213,045 = 213,045 : x
  2. Step 2: Convert to fraction form
    98,639/213,045 = 213,045/x
  3. Step 3: Cross multiply
    98,639x = 213,045 × 213,045
  4. Step 4: Simplify right side
    98,639x = 45,388,172,025
  5. Step 5: Solve for x
    x = 45,388,172,025/98,639
  6. Step 6: Final answer
    x = 460,144.28

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.