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Finding the Third Proportional to 535,646 and 734,489

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Solution

The third proportional to 535,646 and 734,489 is: 1,007,146.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,646 : 734,489 = 734,489 : x
  2. Step 2: Convert to fraction form
    535,646/734,489 = 734,489/x
  3. Step 3: Cross multiply
    535,646x = 734,489 × 734,489
  4. Step 4: Simplify right side
    535,646x = 539,474,091,121
  5. Step 5: Solve for x
    x = 539,474,091,121/535,646
  6. Step 6: Final answer
    x = 1,007,146.68

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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.