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Finding the Third Proportional to 434,659.50 and 916,515

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Solution

The third proportional to 434,659.50 and 916,515 is: 1,932,546.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,659.50 : 916,515 = 916,515 : x
  2. Step 2: Convert to fraction form
    434,659.50/916,515 = 916,515/x
  3. Step 3: Cross multiply
    434,659.50x = 916,515 × 916,515
  4. Step 4: Simplify right side
    434,659.50x = 839,999,745,225
  5. Step 5: Solve for x
    x = 839,999,745,225/434,659.50
  6. Step 6: Final answer
    x = 1,932,546.61

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.