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Finding the Third Proportional to 210,209.50 and 326,385

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Solution

The third proportional to 210,209.50 and 326,385 is: 506,766.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,209.50 : 326,385 = 326,385 : x
  2. Step 2: Convert to fraction form
    210,209.50/326,385 = 326,385/x
  3. Step 3: Cross multiply
    210,209.50x = 326,385 × 326,385
  4. Step 4: Simplify right side
    210,209.50x = 106,527,168,225
  5. Step 5: Solve for x
    x = 106,527,168,225/210,209.50
  6. Step 6: Final answer
    x = 506,766.67

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.