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Finding the Third Proportional to 929.25 and 1,388.95

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Solution

The third proportional to 929.25 and 1,388.95 is: 2,076.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.25 : 1,388.95 = 1,388.95 : x
  2. Step 2: Convert to fraction form
    929.25/1,388.95 = 1,388.95/x
  3. Step 3: Cross multiply
    929.25x = 1,388.95 × 1,388.95
  4. Step 4: Simplify right side
    929.25x = 1,929,190.78
  5. Step 5: Solve for x
    x = 1,929,190.78/929.25
  6. Step 6: Final answer
    x = 2,076.07

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.