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Finding the Third Proportional to 428,893 and 916,684

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Solution

The third proportional to 428,893 and 916,684 is: 1,959,252.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,893 : 916,684 = 916,684 : x
  2. Step 2: Convert to fraction form
    428,893/916,684 = 916,684/x
  3. Step 3: Cross multiply
    428,893x = 916,684 × 916,684
  4. Step 4: Simplify right side
    428,893x = 840,309,555,856
  5. Step 5: Solve for x
    x = 840,309,555,856/428,893
  6. Step 6: Final answer
    x = 1,959,252.20

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.