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Finding the Third Proportional to 922.19 and 1,390.27

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Solution

The third proportional to 922.19 and 1,390.27 is: 2,095.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.19 : 1,390.27 = 1,390.27 : x
  2. Step 2: Convert to fraction form
    922.19/1,390.27 = 1,390.27/x
  3. Step 3: Cross multiply
    922.19x = 1,390.27 × 1,390.27
  4. Step 4: Simplify right side
    922.19x = 1,932,845.25
  5. Step 5: Solve for x
    x = 1,932,845.25/922.19
  6. Step 6: Final answer
    x = 2,095.93

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.