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Finding the Third Proportional to 213,536 and 321,700

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Solution

The third proportional to 213,536 and 321,700 is: 484,653.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,536 : 321,700 = 321,700 : x
  2. Step 2: Convert to fraction form
    213,536/321,700 = 321,700/x
  3. Step 3: Cross multiply
    213,536x = 321,700 × 321,700
  4. Step 4: Simplify right side
    213,536x = 103,490,890,000
  5. Step 5: Solve for x
    x = 103,490,890,000/213,536
  6. Step 6: Final answer
    x = 484,653.13

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.