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Finding the Third Proportional to 213,087 and 459,385

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Solution

The third proportional to 213,087 and 459,385 is: 990,368.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,087 : 459,385 = 459,385 : x
  2. Step 2: Convert to fraction form
    213,087/459,385 = 459,385/x
  3. Step 3: Cross multiply
    213,087x = 459,385 × 459,385
  4. Step 4: Simplify right side
    213,087x = 211,034,578,225
  5. Step 5: Solve for x
    x = 211,034,578,225/213,087
  6. Step 6: Final answer
    x = 990,368.15

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.