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Finding the Third Proportional to 213,662 and 459,490

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Solution

The third proportional to 213,662 and 459,490 is: 988,154.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,662 : 459,490 = 459,490 : x
  2. Step 2: Convert to fraction form
    213,662/459,490 = 459,490/x
  3. Step 3: Cross multiply
    213,662x = 459,490 × 459,490
  4. Step 4: Simplify right side
    213,662x = 211,131,060,100
  5. Step 5: Solve for x
    x = 211,131,060,100/213,662
  6. Step 6: Final answer
    x = 988,154.47

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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.