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Finding the Third Proportional to 576.84 and 917.02

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Solution

The third proportional to 576.84 and 917.02 is: 1,457.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.84 : 917.02 = 917.02 : x
  2. Step 2: Convert to fraction form
    576.84/917.02 = 917.02/x
  3. Step 3: Cross multiply
    576.84x = 917.02 × 917.02
  4. Step 4: Simplify right side
    576.84x = 840,917.66
  5. Step 5: Solve for x
    x = 840,917.66/576.84
  6. Step 6: Final answer
    x = 1,457.79

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.