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Finding the Third Proportional to 401,369 and 550,391

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Solution

The third proportional to 401,369 and 550,391 is: 754,742.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,369 : 550,391 = 550,391 : x
  2. Step 2: Convert to fraction form
    401,369/550,391 = 550,391/x
  3. Step 3: Cross multiply
    401,369x = 550,391 × 550,391
  4. Step 4: Simplify right side
    401,369x = 302,930,252,881
  5. Step 5: Solve for x
    x = 302,930,252,881/401,369
  6. Step 6: Final answer
    x = 754,742.53

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.