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Finding the Third Proportional to 98,850 and 216,519

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Solution

The third proportional to 98,850 and 216,519 is: 474,258.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,850 : 216,519 = 216,519 : x
  2. Step 2: Convert to fraction form
    98,850/216,519 = 216,519/x
  3. Step 3: Cross multiply
    98,850x = 216,519 × 216,519
  4. Step 4: Simplify right side
    98,850x = 46,880,477,361
  5. Step 5: Solve for x
    x = 46,880,477,361/98,850
  6. Step 6: Final answer
    x = 474,258.75

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.