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Finding the Third Proportional to 428,724 and 919,656

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Solution

The third proportional to 428,724 and 919,656 is: 1,972,754.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,724 : 919,656 = 919,656 : x
  2. Step 2: Convert to fraction form
    428,724/919,656 = 919,656/x
  3. Step 3: Cross multiply
    428,724x = 919,656 × 919,656
  4. Step 4: Simplify right side
    428,724x = 845,767,158,336
  5. Step 5: Solve for x
    x = 845,767,158,336/428,724
  6. Step 6: Final answer
    x = 1,972,754.40

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.