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Finding the Third Proportional to 98,403 and 210,810

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Solution

The third proportional to 98,403 and 210,810 is: 451,620.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,403 : 210,810 = 210,810 : x
  2. Step 2: Convert to fraction form
    98,403/210,810 = 210,810/x
  3. Step 3: Cross multiply
    98,403x = 210,810 × 210,810
  4. Step 4: Simplify right side
    98,403x = 44,440,856,100
  5. Step 5: Solve for x
    x = 44,440,856,100/98,403
  6. Step 6: Final answer
    x = 451,620.95

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.