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Finding the Third Proportional to 428,784 and 869,232

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Solution

The third proportional to 428,784 and 869,232 is: 1,762,109.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,784 : 869,232 = 869,232 : x
  2. Step 2: Convert to fraction form
    428,784/869,232 = 869,232/x
  3. Step 3: Cross multiply
    428,784x = 869,232 × 869,232
  4. Step 4: Simplify right side
    428,784x = 755,564,269,824
  5. Step 5: Solve for x
    x = 755,564,269,824/428,784
  6. Step 6: Final answer
    x = 1,762,109.29

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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.