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Finding the Third Proportional to 401,510 and 550,559

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Solution

The third proportional to 401,510 and 550,559 is: 754,938.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,510 : 550,559 = 550,559 : x
  2. Step 2: Convert to fraction form
    401,510/550,559 = 550,559/x
  3. Step 3: Cross multiply
    401,510x = 550,559 × 550,559
  4. Step 4: Simplify right side
    401,510x = 303,115,212,481
  5. Step 5: Solve for x
    x = 303,115,212,481/401,510
  6. Step 6: Final answer
    x = 754,938.14

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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.