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Finding the Third Proportional to 431,303 and 662,025

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Solution

The third proportional to 431,303 and 662,025 is: 1,016,169.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,303 : 662,025 = 662,025 : x
  2. Step 2: Convert to fraction form
    431,303/662,025 = 662,025/x
  3. Step 3: Cross multiply
    431,303x = 662,025 × 662,025
  4. Step 4: Simplify right side
    431,303x = 438,277,100,625
  5. Step 5: Solve for x
    x = 438,277,100,625/431,303
  6. Step 6: Final answer
    x = 1,016,169.84

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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.