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Finding the Third Proportional to 401,376 and 854,688

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Solution

The third proportional to 401,376 and 854,688 is: 1,819,968.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,376 : 854,688 = 854,688 : x
  2. Step 2: Convert to fraction form
    401,376/854,688 = 854,688/x
  3. Step 3: Cross multiply
    401,376x = 854,688 × 854,688
  4. Step 4: Simplify right side
    401,376x = 730,491,577,344
  5. Step 5: Solve for x
    x = 730,491,577,344/401,376
  6. Step 6: Final answer
    x = 1,819,968.25

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.