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Finding the Third Proportional to 213,377 and 459,802

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Solution

The third proportional to 213,377 and 459,802 is: 990,818.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,377 : 459,802 = 459,802 : x
  2. Step 2: Convert to fraction form
    213,377/459,802 = 459,802/x
  3. Step 3: Cross multiply
    213,377x = 459,802 × 459,802
  4. Step 4: Simplify right side
    213,377x = 211,417,879,204
  5. Step 5: Solve for x
    x = 211,417,879,204/213,377
  6. Step 6: Final answer
    x = 990,818.50

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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.