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Finding the Third Proportional to 211,234.50 and 439,940.25

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Solution

The third proportional to 211,234.50 and 439,940.25 is: 916,268.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,234.50 : 439,940.25 = 439,940.25 : x
  2. Step 2: Convert to fraction form
    211,234.50/439,940.25 = 439,940.25/x
  3. Step 3: Cross multiply
    211,234.50x = 439,940.25 × 439,940.25
  4. Step 4: Simplify right side
    211,234.50x = 193,547,423,570.06
  5. Step 5: Solve for x
    x = 193,547,423,570.06/211,234.50
  6. Step 6: Final answer
    x = 916,268.05

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.