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Finding the Third Proportional to 213,354 and 458,340

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Solution

The third proportional to 213,354 and 458,340 is: 984,633.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,354 : 458,340 = 458,340 : x
  2. Step 2: Convert to fraction form
    213,354/458,340 = 458,340/x
  3. Step 3: Cross multiply
    213,354x = 458,340 × 458,340
  4. Step 4: Simplify right side
    213,354x = 210,075,555,600
  5. Step 5: Solve for x
    x = 210,075,555,600/213,354
  6. Step 6: Final answer
    x = 984,633.78

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.