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Finding the Third Proportional to 211,140 and 439,753.50

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Solution

The third proportional to 211,140 and 439,753.50 is: 915,900.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,140 : 439,753.50 = 439,753.50 : x
  2. Step 2: Convert to fraction form
    211,140/439,753.50 = 439,753.50/x
  3. Step 3: Cross multiply
    211,140x = 439,753.50 × 439,753.50
  4. Step 4: Simplify right side
    211,140x = 193,383,140,762.25
  5. Step 5: Solve for x
    x = 193,383,140,762.25/211,140
  6. Step 6: Final answer
    x = 915,900.07

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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.