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Finding the Third Proportional to 315.13 and 822.25

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Solution

The third proportional to 315.13 and 822.25 is: 2,145.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.13 : 822.25 = 822.25 : x
  2. Step 2: Convert to fraction form
    315.13/822.25 = 822.25/x
  3. Step 3: Cross multiply
    315.13x = 822.25 × 822.25
  4. Step 4: Simplify right side
    315.13x = 676,095.06
  5. Step 5: Solve for x
    x = 676,095.06/315.13
  6. Step 6: Final answer
    x = 2,145.48

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Why These Related Problems?

These problems maintain the same ratio (2.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.