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Finding the Third Proportional to 412,895 and 631,684

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Solution

The third proportional to 412,895 and 631,684 is: 966,407.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,895 : 631,684 = 631,684 : x
  2. Step 2: Convert to fraction form
    412,895/631,684 = 631,684/x
  3. Step 3: Cross multiply
    412,895x = 631,684 × 631,684
  4. Step 4: Simplify right side
    412,895x = 399,024,675,856
  5. Step 5: Solve for x
    x = 399,024,675,856/412,895
  6. Step 6: Final answer
    x = 966,407.14

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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.