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Finding the Third Proportional to 211,720 and 458,000

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Solution

The third proportional to 211,720 and 458,000 is: 990,761.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,720 : 458,000 = 458,000 : x
  2. Step 2: Convert to fraction form
    211,720/458,000 = 458,000/x
  3. Step 3: Cross multiply
    211,720x = 458,000 × 458,000
  4. Step 4: Simplify right side
    211,720x = 209,764,000,000
  5. Step 5: Solve for x
    x = 209,764,000,000/211,720
  6. Step 6: Final answer
    x = 990,761.38

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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.