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Finding the Third Proportional to 1,650.22 and 2,345.76

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Solution

The third proportional to 1,650.22 and 2,345.76 is: 3,334.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,650.22 : 2,345.76 = 2,345.76 : x
  2. Step 2: Convert to fraction form
    1,650.22/2,345.76 = 2,345.76/x
  3. Step 3: Cross multiply
    1,650.22x = 2,345.76 × 2,345.76
  4. Step 4: Simplify right side
    1,650.22x = 5,502,575.13
  5. Step 5: Solve for x
    x = 5,502,575.13/1,650.22
  6. Step 6: Final answer
    x = 3,334.46

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.