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Finding the Third Proportional to 213,364 and 321,706

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Solution

The third proportional to 213,364 and 321,706 is: 485,061.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,364 : 321,706 = 321,706 : x
  2. Step 2: Convert to fraction form
    213,364/321,706 = 321,706/x
  3. Step 3: Cross multiply
    213,364x = 321,706 × 321,706
  4. Step 4: Simplify right side
    213,364x = 103,494,750,436
  5. Step 5: Solve for x
    x = 103,494,750,436/213,364
  6. Step 6: Final answer
    x = 485,061.92

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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.