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Finding the Third Proportional to 98,850 and 213,138

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Solution

The third proportional to 98,850 and 213,138 is: 459,563.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,850 : 213,138 = 213,138 : x
  2. Step 2: Convert to fraction form
    98,850/213,138 = 213,138/x
  3. Step 3: Cross multiply
    98,850x = 213,138 × 213,138
  4. Step 4: Simplify right side
    98,850x = 45,427,807,044
  5. Step 5: Solve for x
    x = 45,427,807,044/98,850
  6. Step 6: Final answer
    x = 459,563.05

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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.