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Finding the Third Proportional to 216,033 and 531,213

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Solution

The third proportional to 216,033 and 531,213 is: 1,306,222.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,033 : 531,213 = 531,213 : x
  2. Step 2: Convert to fraction form
    216,033/531,213 = 531,213/x
  3. Step 3: Cross multiply
    216,033x = 531,213 × 531,213
  4. Step 4: Simplify right side
    216,033x = 282,187,251,369
  5. Step 5: Solve for x
    x = 282,187,251,369/216,033
  6. Step 6: Final answer
    x = 1,306,222.90

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Why These Related Problems?

These problems maintain the same ratio (2.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.