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Finding the Third Proportional to 750.83 and 1,154.72

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Solution

The third proportional to 750.83 and 1,154.72 is: 1,775.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.83 : 1,154.72 = 1,154.72 : x
  2. Step 2: Convert to fraction form
    750.83/1,154.72 = 1,154.72/x
  3. Step 3: Cross multiply
    750.83x = 1,154.72 × 1,154.72
  4. Step 4: Simplify right side
    750.83x = 1,333,388.92
  5. Step 5: Solve for x
    x = 1,333,388.92/750.83
  6. Step 6: Final answer
    x = 1,775.88

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.