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Finding the Third Proportional to 922.03 and 1,990.78

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Solution

The third proportional to 922.03 and 1,990.78 is: 4,298.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.03 : 1,990.78 = 1,990.78 : x
  2. Step 2: Convert to fraction form
    922.03/1,990.78 = 1,990.78/x
  3. Step 3: Cross multiply
    922.03x = 1,990.78 × 1,990.78
  4. Step 4: Simplify right side
    922.03x = 3,963,209.99
  5. Step 5: Solve for x
    x = 3,963,209.99/922.03
  6. Step 6: Final answer
    x = 4,298.35

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.