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Finding the Third Proportional to 749.06 and 1,154.81

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Solution

The third proportional to 749.06 and 1,154.81 is: 1,780.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.06 : 1,154.81 = 1,154.81 : x
  2. Step 2: Convert to fraction form
    749.06/1,154.81 = 1,154.81/x
  3. Step 3: Cross multiply
    749.06x = 1,154.81 × 1,154.81
  4. Step 4: Simplify right side
    749.06x = 1,333,591.91
  5. Step 5: Solve for x
    x = 1,333,591.91/749.06
  6. Step 6: Final answer
    x = 1,780.35

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Why These Related Problems?

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