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Finding the Third Proportional to 98,964 and 215,689

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Solution

The third proportional to 98,964 and 215,689 is: 470,087.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,964 : 215,689 = 215,689 : x
  2. Step 2: Convert to fraction form
    98,964/215,689 = 215,689/x
  3. Step 3: Cross multiply
    98,964x = 215,689 × 215,689
  4. Step 4: Simplify right side
    98,964x = 46,521,744,721
  5. Step 5: Solve for x
    x = 46,521,744,721/98,964
  6. Step 6: Final answer
    x = 470,087.55

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.