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Finding the Third Proportional to 90,639 and 209,800.13

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Solution

The third proportional to 90,639 and 209,800.13 is: 485,619.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,639 : 209,800.13 = 209,800.13 : x
  2. Step 2: Convert to fraction form
    90,639/209,800.13 = 209,800.13/x
  3. Step 3: Cross multiply
    90,639x = 209,800.13 × 209,800.13
  4. Step 4: Simplify right side
    90,639x = 44,016,092,450.02
  5. Step 5: Solve for x
    x = 44,016,092,450.02/90,639
  6. Step 6: Final answer
    x = 485,619.79

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.