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Finding the Third Proportional to 98,855 and 213,148

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Solution

The third proportional to 98,855 and 213,148 is: 459,582.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,855 : 213,148 = 213,148 : x
  2. Step 2: Convert to fraction form
    98,855/213,148 = 213,148/x
  3. Step 3: Cross multiply
    98,855x = 213,148 × 213,148
  4. Step 4: Simplify right side
    98,855x = 45,432,069,904
  5. Step 5: Solve for x
    x = 45,432,069,904/98,855
  6. Step 6: Final answer
    x = 459,582.92

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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.