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Finding the Third Proportional to 312,699 and 737,431

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Solution

The third proportional to 312,699 and 737,431 is: 1,739,066.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,699 : 737,431 = 737,431 : x
  2. Step 2: Convert to fraction form
    312,699/737,431 = 737,431/x
  3. Step 3: Cross multiply
    312,699x = 737,431 × 737,431
  4. Step 4: Simplify right side
    312,699x = 543,804,479,761
  5. Step 5: Solve for x
    x = 543,804,479,761/312,699
  6. Step 6: Final answer
    x = 1,739,066.90

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.