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Finding the Third Proportional to 810.84 and 1,254.09

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Solution

The third proportional to 810.84 and 1,254.09 is: 1,939.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    810.84 : 1,254.09 = 1,254.09 : x
  2. Step 2: Convert to fraction form
    810.84/1,254.09 = 1,254.09/x
  3. Step 3: Cross multiply
    810.84x = 1,254.09 × 1,254.09
  4. Step 4: Simplify right side
    810.84x = 1,572,751.13
  5. Step 5: Solve for x
    x = 1,572,751.13/810.84
  6. Step 6: Final answer
    x = 1,939.65

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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.