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Finding the Third Proportional to 929.50 and 1,378.75

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Solution

The third proportional to 929.50 and 1,378.75 is: 2,045.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.50 : 1,378.75 = 1,378.75 : x
  2. Step 2: Convert to fraction form
    929.50/1,378.75 = 1,378.75/x
  3. Step 3: Cross multiply
    929.50x = 1,378.75 × 1,378.75
  4. Step 4: Simplify right side
    929.50x = 1,900,951.56
  5. Step 5: Solve for x
    x = 1,900,951.56/929.50
  6. Step 6: Final answer
    x = 2,045.13

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.