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Finding the Third Proportional to 212,368.50 and 321,273

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Solution

The third proportional to 212,368.50 and 321,273 is: 486,024.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,368.50 : 321,273 = 321,273 : x
  2. Step 2: Convert to fraction form
    212,368.50/321,273 = 321,273/x
  3. Step 3: Cross multiply
    212,368.50x = 321,273 × 321,273
  4. Step 4: Simplify right side
    212,368.50x = 103,216,340,529
  5. Step 5: Solve for x
    x = 103,216,340,529/212,368.50
  6. Step 6: Final answer
    x = 486,024.72

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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.