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Finding the Third Proportional to 428,480 and 876,616

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Solution

The third proportional to 428,480 and 876,616 is: 1,793,445.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,480 : 876,616 = 876,616 : x
  2. Step 2: Convert to fraction form
    428,480/876,616 = 876,616/x
  3. Step 3: Cross multiply
    428,480x = 876,616 × 876,616
  4. Step 4: Simplify right side
    428,480x = 768,455,611,456
  5. Step 5: Solve for x
    x = 768,455,611,456/428,480
  6. Step 6: Final answer
    x = 1,793,445.70

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.