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Finding the Third Proportional to 213,090 and 459,391

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Solution

The third proportional to 213,090 and 459,391 is: 990,380.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,090 : 459,391 = 459,391 : x
  2. Step 2: Convert to fraction form
    213,090/459,391 = 459,391/x
  3. Step 3: Cross multiply
    213,090x = 459,391 × 459,391
  4. Step 4: Simplify right side
    213,090x = 211,040,090,881
  5. Step 5: Solve for x
    x = 211,040,090,881/213,090
  6. Step 6: Final answer
    x = 990,380.08

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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.