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Finding the Third Proportional to 1,948.78 and 3,717.98

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Solution

The third proportional to 1,948.78 and 3,717.98 is: 7,093.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,948.78 : 3,717.98 = 3,717.98 : x
  2. Step 2: Convert to fraction form
    1,948.78/3,717.98 = 3,717.98/x
  3. Step 3: Cross multiply
    1,948.78x = 3,717.98 × 3,717.98
  4. Step 4: Simplify right side
    1,948.78x = 13,823,407.81
  5. Step 5: Solve for x
    x = 13,823,407.81/1,948.78
  6. Step 6: Final answer
    x = 7,093.36

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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.