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Finding the Third Proportional to 401,634 and 865,476

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Solution

The third proportional to 401,634 and 865,476 is: 1,865,003.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,634 : 865,476 = 865,476 : x
  2. Step 2: Convert to fraction form
    401,634/865,476 = 865,476/x
  3. Step 3: Cross multiply
    401,634x = 865,476 × 865,476
  4. Step 4: Simplify right side
    401,634x = 749,048,706,576
  5. Step 5: Solve for x
    x = 749,048,706,576/401,634
  6. Step 6: Final answer
    x = 1,865,003.23

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.