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Finding the Third Proportional to 213,489 and 459,967

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Solution

The third proportional to 213,489 and 459,967 is: 991,009.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,489 : 459,967 = 459,967 : x
  2. Step 2: Convert to fraction form
    213,489/459,967 = 459,967/x
  3. Step 3: Cross multiply
    213,489x = 459,967 × 459,967
  4. Step 4: Simplify right side
    213,489x = 211,569,641,089
  5. Step 5: Solve for x
    x = 211,569,641,089/213,489
  6. Step 6: Final answer
    x = 991,009.57

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.