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Finding the Third Proportional to 435,156 and 665,238

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Solution

The third proportional to 435,156 and 665,238 is: 1,016,972.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,156 : 665,238 = 665,238 : x
  2. Step 2: Convert to fraction form
    435,156/665,238 = 665,238/x
  3. Step 3: Cross multiply
    435,156x = 665,238 × 665,238
  4. Step 4: Simplify right side
    435,156x = 442,541,596,644
  5. Step 5: Solve for x
    x = 442,541,596,644/435,156
  6. Step 6: Final answer
    x = 1,016,972.30

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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.