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Finding the Third Proportional to 428,637 and 916,324

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Solution

The third proportional to 428,637 and 916,324 is: 1,958,882.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,637 : 916,324 = 916,324 : x
  2. Step 2: Convert to fraction form
    428,637/916,324 = 916,324/x
  3. Step 3: Cross multiply
    428,637x = 916,324 × 916,324
  4. Step 4: Simplify right side
    428,637x = 839,649,672,976
  5. Step 5: Solve for x
    x = 839,649,672,976/428,637
  6. Step 6: Final answer
    x = 1,958,882.86

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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.