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Finding the Third Proportional to 213,948 and 459,486

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Solution

The third proportional to 213,948 and 459,486 is: 986,816.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,948 : 459,486 = 459,486 : x
  2. Step 2: Convert to fraction form
    213,948/459,486 = 459,486/x
  3. Step 3: Cross multiply
    213,948x = 459,486 × 459,486
  4. Step 4: Simplify right side
    213,948x = 211,127,384,196
  5. Step 5: Solve for x
    x = 211,127,384,196/213,948
  6. Step 6: Final answer
    x = 986,816.35

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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.