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Finding the Third Proportional to 427,828.50 and 916,390.13

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Solution

The third proportional to 427,828.50 and 916,390.13 is: 1,962,867.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,828.50 : 916,390.13 = 916,390.13 : x
  2. Step 2: Convert to fraction form
    427,828.50/916,390.13 = 916,390.13/x
  3. Step 3: Cross multiply
    427,828.50x = 916,390.13 × 916,390.13
  4. Step 4: Simplify right side
    427,828.50x = 839,770,861,197.52
  5. Step 5: Solve for x
    x = 839,770,861,197.52/427,828.50
  6. Step 6: Final answer
    x = 1,962,867.97

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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.