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Finding the Third Proportional to 213,692.50 and 338,376

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Solution

The third proportional to 213,692.50 and 338,376 is: 535,808.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,692.50 : 338,376 = 338,376 : x
  2. Step 2: Convert to fraction form
    213,692.50/338,376 = 338,376/x
  3. Step 3: Cross multiply
    213,692.50x = 338,376 × 338,376
  4. Step 4: Simplify right side
    213,692.50x = 114,498,317,376
  5. Step 5: Solve for x
    x = 114,498,317,376/213,692.50
  6. Step 6: Final answer
    x = 535,808.78

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.