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Finding the Third Proportional to 210,554.50 and 323,964

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Solution

The third proportional to 210,554.50 and 323,964 is: 498,458.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,554.50 : 323,964 = 323,964 : x
  2. Step 2: Convert to fraction form
    210,554.50/323,964 = 323,964/x
  3. Step 3: Cross multiply
    210,554.50x = 323,964 × 323,964
  4. Step 4: Simplify right side
    210,554.50x = 104,952,673,296
  5. Step 5: Solve for x
    x = 104,952,673,296/210,554.50
  6. Step 6: Final answer
    x = 498,458.47

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.