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Finding the Third Proportional to 98,712 and 213,210

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Solution

The third proportional to 98,712 and 213,210 is: 460,516.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,712 : 213,210 = 213,210 : x
  2. Step 2: Convert to fraction form
    98,712/213,210 = 213,210/x
  3. Step 3: Cross multiply
    98,712x = 213,210 × 213,210
  4. Step 4: Simplify right side
    98,712x = 45,458,504,100
  5. Step 5: Solve for x
    x = 45,458,504,100/98,712
  6. Step 6: Final answer
    x = 460,516.49

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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.