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Finding the Third Proportional to 304.31 and 459.14

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Solution

The third proportional to 304.31 and 459.14 is: 692.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.31 : 459.14 = 459.14 : x
  2. Step 2: Convert to fraction form
    304.31/459.14 = 459.14/x
  3. Step 3: Cross multiply
    304.31x = 459.14 × 459.14
  4. Step 4: Simplify right side
    304.31x = 210,810.11
  5. Step 5: Solve for x
    x = 210,810.11/304.31
  6. Step 6: Final answer
    x = 692.74

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.