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Finding the Third Proportional to 810.13 and 1,256.81

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Solution

The third proportional to 810.13 and 1,256.81 is: 1,949.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    810.13 : 1,256.81 = 1,256.81 : x
  2. Step 2: Convert to fraction form
    810.13/1,256.81 = 1,256.81/x
  3. Step 3: Cross multiply
    810.13x = 1,256.81 × 1,256.81
  4. Step 4: Simplify right side
    810.13x = 1,579,577.66
  5. Step 5: Solve for x
    x = 1,579,577.66/810.13
  6. Step 6: Final answer
    x = 1,949.79

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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.