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Finding the Third Proportional to 967.50 and 1,406.25

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Solution

The third proportional to 967.50 and 1,406.25 is: 2,043.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.50 : 1,406.25 = 1,406.25 : x
  2. Step 2: Convert to fraction form
    967.50/1,406.25 = 1,406.25/x
  3. Step 3: Cross multiply
    967.50x = 1,406.25 × 1,406.25
  4. Step 4: Simplify right side
    967.50x = 1,977,539.06
  5. Step 5: Solve for x
    x = 1,977,539.06/967.50
  6. Step 6: Final answer
    x = 2,043.97

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.