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Finding the Third Proportional to 428,786 and 869,236

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Solution

The third proportional to 428,786 and 869,236 is: 1,762,117.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,786 : 869,236 = 869,236 : x
  2. Step 2: Convert to fraction form
    428,786/869,236 = 869,236/x
  3. Step 3: Cross multiply
    428,786x = 869,236 × 869,236
  4. Step 4: Simplify right side
    428,786x = 755,571,223,696
  5. Step 5: Solve for x
    x = 755,571,223,696/428,786
  6. Step 6: Final answer
    x = 1,762,117.29

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.