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Finding the Third Proportional to 692.93 and 776.46

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Solution

The third proportional to 692.93 and 776.46 is: 870.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.93 : 776.46 = 776.46 : x
  2. Step 2: Convert to fraction form
    692.93/776.46 = 776.46/x
  3. Step 3: Cross multiply
    692.93x = 776.46 × 776.46
  4. Step 4: Simplify right side
    692.93x = 602,891.59
  5. Step 5: Solve for x
    x = 602,891.59/692.93
  6. Step 6: Final answer
    x = 870.06

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Why These Related Problems?

These problems maintain the same ratio (1.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.