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Finding the Third Proportional to 445,230 and 990,117

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Solution

The third proportional to 445,230 and 990,117 is: 2,201,854.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,230 : 990,117 = 990,117 : x
  2. Step 2: Convert to fraction form
    445,230/990,117 = 990,117/x
  3. Step 3: Cross multiply
    445,230x = 990,117 × 990,117
  4. Step 4: Simplify right side
    445,230x = 980,331,673,689
  5. Step 5: Solve for x
    x = 980,331,673,689/445,230
  6. Step 6: Final answer
    x = 2,201,854.49

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.