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Finding the Third Proportional to 437.55 and 692.86

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Solution

The third proportional to 437.55 and 692.86 is: 1,097.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.55 : 692.86 = 692.86 : x
  2. Step 2: Convert to fraction form
    437.55/692.86 = 692.86/x
  3. Step 3: Cross multiply
    437.55x = 692.86 × 692.86
  4. Step 4: Simplify right side
    437.55x = 480,054.11
  5. Step 5: Solve for x
    x = 480,054.11/437.55
  6. Step 6: Final answer
    x = 1,097.13

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.