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Finding the Third Proportional to 423.35 and 670.15

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Solution

The third proportional to 423.35 and 670.15 is: 1,060.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.35 : 670.15 = 670.15 : x
  2. Step 2: Convert to fraction form
    423.35/670.15 = 670.15/x
  3. Step 3: Cross multiply
    423.35x = 670.15 × 670.15
  4. Step 4: Simplify right side
    423.35x = 449,098.93
  5. Step 5: Solve for x
    x = 449,098.93/423.35
  6. Step 6: Final answer
    x = 1,060.82

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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.