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Finding the Third Proportional to 428,031 and 640,710

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Solution

The third proportional to 428,031 and 640,710 is: 959,064.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,031 : 640,710 = 640,710 : x
  2. Step 2: Convert to fraction form
    428,031/640,710 = 640,710/x
  3. Step 3: Cross multiply
    428,031x = 640,710 × 640,710
  4. Step 4: Simplify right side
    428,031x = 410,509,304,100
  5. Step 5: Solve for x
    x = 410,509,304,100/428,031
  6. Step 6: Final answer
    x = 959,064.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.