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Finding the Third Proportional to 213,490 and 459,969

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Solution

The third proportional to 213,490 and 459,969 is: 991,013.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,490 : 459,969 = 459,969 : x
  2. Step 2: Convert to fraction form
    213,490/459,969 = 459,969/x
  3. Step 3: Cross multiply
    213,490x = 459,969 × 459,969
  4. Step 4: Simplify right side
    213,490x = 211,571,480,961
  5. Step 5: Solve for x
    x = 211,571,480,961/213,490
  6. Step 6: Final answer
    x = 991,013.54

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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.