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Finding the Third Proportional to 213,447 and 321,570

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Solution

The third proportional to 213,447 and 321,570 is: 484,463.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,447 : 321,570 = 321,570 : x
  2. Step 2: Convert to fraction form
    213,447/321,570 = 321,570/x
  3. Step 3: Cross multiply
    213,447x = 321,570 × 321,570
  4. Step 4: Simplify right side
    213,447x = 103,407,264,900
  5. Step 5: Solve for x
    x = 103,407,264,900/213,447
  6. Step 6: Final answer
    x = 484,463.43

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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.