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Finding the Third Proportional to 211,417.88 and 323,824.50

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Solution

The third proportional to 211,417.88 and 323,824.50 is: 495,995.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,417.88 : 323,824.50 = 323,824.50 : x
  2. Step 2: Convert to fraction form
    211,417.88/323,824.50 = 323,824.50/x
  3. Step 3: Cross multiply
    211,417.88x = 323,824.50 × 323,824.50
  4. Step 4: Simplify right side
    211,417.88x = 104,862,306,800.25
  5. Step 5: Solve for x
    x = 104,862,306,800.25/211,417.88
  6. Step 6: Final answer
    x = 495,995.46

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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.