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Finding the Third Proportional to 878.44 and 1,312.88

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Solution

The third proportional to 878.44 and 1,312.88 is: 1,962.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    878.44 : 1,312.88 = 1,312.88 : x
  2. Step 2: Convert to fraction form
    878.44/1,312.88 = 1,312.88/x
  3. Step 3: Cross multiply
    878.44x = 1,312.88 × 1,312.88
  4. Step 4: Simplify right side
    878.44x = 1,723,640.77
  5. Step 5: Solve for x
    x = 1,723,640.77/878.44
  6. Step 6: Final answer
    x = 1,962.17

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.