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Finding the Third Proportional to 301,013 and 401,487

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Solution

The third proportional to 301,013 and 401,487 is: 535,497.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,013 : 401,487 = 401,487 : x
  2. Step 2: Convert to fraction form
    301,013/401,487 = 401,487/x
  3. Step 3: Cross multiply
    301,013x = 401,487 × 401,487
  4. Step 4: Simplify right side
    301,013x = 161,191,811,169
  5. Step 5: Solve for x
    x = 161,191,811,169/301,013
  6. Step 6: Final answer
    x = 535,497.84

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.