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Finding the Third Proportional to 617.94 and 1,312.77

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Solution

The third proportional to 617.94 and 1,312.77 is: 2,788.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.94 : 1,312.77 = 1,312.77 : x
  2. Step 2: Convert to fraction form
    617.94/1,312.77 = 1,312.77/x
  3. Step 3: Cross multiply
    617.94x = 1,312.77 × 1,312.77
  4. Step 4: Simplify right side
    617.94x = 1,723,363.84
  5. Step 5: Solve for x
    x = 1,723,363.84/617.94
  6. Step 6: Final answer
    x = 2,788.88

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.