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Finding the Third Proportional to 287,791.50 and 402,556.50

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Solution

The third proportional to 287,791.50 and 402,556.50 is: 563,087.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,791.50 : 402,556.50 = 402,556.50 : x
  2. Step 2: Convert to fraction form
    287,791.50/402,556.50 = 402,556.50/x
  3. Step 3: Cross multiply
    287,791.50x = 402,556.50 × 402,556.50
  4. Step 4: Simplify right side
    287,791.50x = 162,051,735,692.25
  5. Step 5: Solve for x
    x = 162,051,735,692.25/287,791.50
  6. Step 6: Final answer
    x = 563,087.29

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.