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Finding the Third Proportional to 390.25 and 832.25

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Solution

The third proportional to 390.25 and 832.25 is: 1,774.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.25 : 832.25 = 832.25 : x
  2. Step 2: Convert to fraction form
    390.25/832.25 = 832.25/x
  3. Step 3: Cross multiply
    390.25x = 832.25 × 832.25
  4. Step 4: Simplify right side
    390.25x = 692,640.06
  5. Step 5: Solve for x
    x = 692,640.06/390.25
  6. Step 6: Final answer
    x = 1,774.86

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.