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Finding the Third Proportional to 211,415.63 and 323,821.13

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Solution

The third proportional to 211,415.63 and 323,821.13 is: 495,990.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,415.63 : 323,821.13 = 323,821.13 : x
  2. Step 2: Convert to fraction form
    211,415.63/323,821.13 = 323,821.13/x
  3. Step 3: Cross multiply
    211,415.63x = 323,821.13 × 323,821.13
  4. Step 4: Simplify right side
    211,415.63x = 104,860,120,996.27
  5. Step 5: Solve for x
    x = 104,860,120,996.27/211,415.63
  6. Step 6: Final answer
    x = 495,990.40

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.