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Finding the Third Proportional to 810.84 and 1,254.28

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Solution

The third proportional to 810.84 and 1,254.28 is: 1,940.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    810.84 : 1,254.28 = 1,254.28 : x
  2. Step 2: Convert to fraction form
    810.84/1,254.28 = 1,254.28/x
  3. Step 3: Cross multiply
    810.84x = 1,254.28 × 1,254.28
  4. Step 4: Simplify right side
    810.84x = 1,573,221.45
  5. Step 5: Solve for x
    x = 1,573,221.45/810.84
  6. Step 6: Final answer
    x = 1,940.23

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.