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Finding the Third Proportional to 428,818 and 563,888

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Solution

The third proportional to 428,818 and 563,888 is: 741,502.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,818 : 563,888 = 563,888 : x
  2. Step 2: Convert to fraction form
    428,818/563,888 = 563,888/x
  3. Step 3: Cross multiply
    428,818x = 563,888 × 563,888
  4. Step 4: Simplify right side
    428,818x = 317,969,676,544
  5. Step 5: Solve for x
    x = 317,969,676,544/428,818
  6. Step 6: Final answer
    x = 741,502.63

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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.