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Finding the Third Proportional to 929.75 and 1,409.25

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Solution

The third proportional to 929.75 and 1,409.25 is: 2,136.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.75 : 1,409.25 = 1,409.25 : x
  2. Step 2: Convert to fraction form
    929.75/1,409.25 = 1,409.25/x
  3. Step 3: Cross multiply
    929.75x = 1,409.25 × 1,409.25
  4. Step 4: Simplify right side
    929.75x = 1,985,985.56
  5. Step 5: Solve for x
    x = 1,985,985.56/929.75
  6. Step 6: Final answer
    x = 2,136.04

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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.