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Finding the Third Proportional to 428,816.25 and 563,884.88

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Solution

The third proportional to 428,816.25 and 563,884.88 is: 741,497.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,816.25 : 563,884.88 = 563,884.88 : x
  2. Step 2: Convert to fraction form
    428,816.25/563,884.88 = 563,884.88/x
  3. Step 3: Cross multiply
    428,816.25x = 563,884.88 × 563,884.88
  4. Step 4: Simplify right side
    428,816.25x = 317,966,152,253.77
  5. Step 5: Solve for x
    x = 317,966,152,253.77/428,816.25
  6. Step 6: Final answer
    x = 741,497.44

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.