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Finding the Third Proportional to 412,890.75 and 631,677.66

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Solution

The third proportional to 412,890.75 and 631,677.66 is: 966,397.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,890.75 : 631,677.66 = 631,677.66 : x
  2. Step 2: Convert to fraction form
    412,890.75/631,677.66 = 631,677.66/x
  3. Step 3: Cross multiply
    412,890.75x = 631,677.66 × 631,677.66
  4. Step 4: Simplify right side
    412,890.75x = 399,016,661,405.49
  5. Step 5: Solve for x
    x = 399,016,661,405.49/412,890.75
  6. Step 6: Final answer
    x = 966,397.68

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.