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Finding the Third Proportional to 205,672.50 and 312,477

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Solution

The third proportional to 205,672.50 and 312,477 is: 474,744.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,672.50 : 312,477 = 312,477 : x
  2. Step 2: Convert to fraction form
    205,672.50/312,477 = 312,477/x
  3. Step 3: Cross multiply
    205,672.50x = 312,477 × 312,477
  4. Step 4: Simplify right side
    205,672.50x = 97,641,875,529
  5. Step 5: Solve for x
    x = 97,641,875,529/205,672.50
  6. Step 6: Final answer
    x = 474,744.44

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.