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Finding the Third Proportional to 810 and 1,215

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Solution

The third proportional to 810 and 1,215 is: 1,822.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    810 : 1,215 = 1,215 : x
  2. Step 2: Convert to fraction form
    810/1,215 = 1,215/x
  3. Step 3: Cross multiply
    810x = 1,215 × 1,215
  4. Step 4: Simplify right side
    810x = 1,476,225
  5. Step 5: Solve for x
    x = 1,476,225/810
  6. Step 6: Final answer
    x = 1,822.50

Related Problems

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.