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Finding the Third Proportional to 401,818 and 547,201

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Solution

The third proportional to 401,818 and 547,201 is: 745,185.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,818 : 547,201 = 547,201 : x
  2. Step 2: Convert to fraction form
    401,818/547,201 = 547,201/x
  3. Step 3: Cross multiply
    401,818x = 547,201 × 547,201
  4. Step 4: Simplify right side
    401,818x = 299,428,934,401
  5. Step 5: Solve for x
    x = 299,428,934,401/401,818
  6. Step 6: Final answer
    x = 745,185.47

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.