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Finding the Third Proportional to 205,692.75 and 312,511.50

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Solution

The third proportional to 205,692.75 and 312,511.50 is: 474,802.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,692.75 : 312,511.50 = 312,511.50 : x
  2. Step 2: Convert to fraction form
    205,692.75/312,511.50 = 312,511.50/x
  3. Step 3: Cross multiply
    205,692.75x = 312,511.50 × 312,511.50
  4. Step 4: Simplify right side
    205,692.75x = 97,663,437,632.25
  5. Step 5: Solve for x
    x = 97,663,437,632.25/205,692.75
  6. Step 6: Final answer
    x = 474,802.53

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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.