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Finding the Third Proportional to 910.78 and 1,736.06

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Solution

The third proportional to 910.78 and 1,736.06 is: 3,309.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    910.78 : 1,736.06 = 1,736.06 : x
  2. Step 2: Convert to fraction form
    910.78/1,736.06 = 1,736.06/x
  3. Step 3: Cross multiply
    910.78x = 1,736.06 × 1,736.06
  4. Step 4: Simplify right side
    910.78x = 3,013,913.00
  5. Step 5: Solve for x
    x = 3,013,913.00/910.78
  6. Step 6: Final answer
    x = 3,309.15

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.