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Finding the Third Proportional to 501,405 and 754,503

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Solution

The third proportional to 501,405 and 754,503 is: 1,135,359.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,405 : 754,503 = 754,503 : x
  2. Step 2: Convert to fraction form
    501,405/754,503 = 754,503/x
  3. Step 3: Cross multiply
    501,405x = 754,503 × 754,503
  4. Step 4: Simplify right side
    501,405x = 569,274,777,009
  5. Step 5: Solve for x
    x = 569,274,777,009/501,405
  6. Step 6: Final answer
    x = 1,135,359.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.