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Finding the Third Proportional to 1,237.78 and 1,765.55

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Solution

The third proportional to 1,237.78 and 1,765.55 is: 2,518.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,237.78 : 1,765.55 = 1,765.55 : x
  2. Step 2: Convert to fraction form
    1,237.78/1,765.55 = 1,765.55/x
  3. Step 3: Cross multiply
    1,237.78x = 1,765.55 × 1,765.55
  4. Step 4: Simplify right side
    1,237.78x = 3,117,155.77
  5. Step 5: Solve for x
    x = 3,117,155.77/1,237.78
  6. Step 6: Final answer
    x = 2,518.34

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.