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Finding the Third Proportional to 1,237.78 and 1,926.28

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Solution

The third proportional to 1,237.78 and 1,926.28 is: 2,997.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,237.78 : 1,926.28 = 1,926.28 : x
  2. Step 2: Convert to fraction form
    1,237.78/1,926.28 = 1,926.28/x
  3. Step 3: Cross multiply
    1,237.78x = 1,926.28 × 1,926.28
  4. Step 4: Simplify right side
    1,237.78x = 3,710,559.45
  5. Step 5: Solve for x
    x = 3,710,559.45/1,237.78
  6. Step 6: Final answer
    x = 2,997.75

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.