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Finding the Third Proportional to 427,828.50 and 916,392.38

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Solution

The third proportional to 427,828.50 and 916,392.38 is: 1,962,877.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,828.50 : 916,392.38 = 916,392.38 : x
  2. Step 2: Convert to fraction form
    427,828.50/916,392.38 = 916,392.38/x
  3. Step 3: Cross multiply
    427,828.50x = 916,392.38 × 916,392.38
  4. Step 4: Simplify right side
    427,828.50x = 839,774,984,958.14
  5. Step 5: Solve for x
    x = 839,774,984,958.14/427,828.50
  6. Step 6: Final answer
    x = 1,962,877.61

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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.