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Finding the Third Proportional to 211,289.50 and 458,406.50

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Solution

The third proportional to 211,289.50 and 458,406.50 is: 994,543.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,289.50 : 458,406.50 = 458,406.50 : x
  2. Step 2: Convert to fraction form
    211,289.50/458,406.50 = 458,406.50/x
  3. Step 3: Cross multiply
    211,289.50x = 458,406.50 × 458,406.50
  4. Step 4: Simplify right side
    211,289.50x = 210,136,519,242.25
  5. Step 5: Solve for x
    x = 210,136,519,242.25/211,289.50
  6. Step 6: Final answer
    x = 994,543.12

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.