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Finding the Third Proportional to 431.63 and 659.06

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Solution

The third proportional to 431.63 and 659.06 is: 1,006.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.63 : 659.06 = 659.06 : x
  2. Step 2: Convert to fraction form
    431.63/659.06 = 659.06/x
  3. Step 3: Cross multiply
    431.63x = 659.06 × 659.06
  4. Step 4: Simplify right side
    431.63x = 434,363.38
  5. Step 5: Solve for x
    x = 434,363.38/431.63
  6. Step 6: Final answer
    x = 1,006.34

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.