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Finding the Third Proportional to 98,730 and 213,867

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Solution

The third proportional to 98,730 and 213,867 is: 463,274.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,730 : 213,867 = 213,867 : x
  2. Step 2: Convert to fraction form
    98,730/213,867 = 213,867/x
  3. Step 3: Cross multiply
    98,730x = 213,867 × 213,867
  4. Step 4: Simplify right side
    98,730x = 45,739,093,689
  5. Step 5: Solve for x
    x = 45,739,093,689/98,730
  6. Step 6: Final answer
    x = 463,274.52

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.