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Finding the Third Proportional to 210,833 and 459,085

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Solution

The third proportional to 210,833 and 459,085 is: 999,649.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,833 : 459,085 = 459,085 : x
  2. Step 2: Convert to fraction form
    210,833/459,085 = 459,085/x
  3. Step 3: Cross multiply
    210,833x = 459,085 × 459,085
  4. Step 4: Simplify right side
    210,833x = 210,759,037,225
  5. Step 5: Solve for x
    x = 210,759,037,225/210,833
  6. Step 6: Final answer
    x = 999,649.19

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.