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Finding the Third Proportional to 351,433 and 753,715

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Solution

The third proportional to 351,433 and 753,715 is: 1,616,485.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,433 : 753,715 = 753,715 : x
  2. Step 2: Convert to fraction form
    351,433/753,715 = 753,715/x
  3. Step 3: Cross multiply
    351,433x = 753,715 × 753,715
  4. Step 4: Simplify right side
    351,433x = 568,086,301,225
  5. Step 5: Solve for x
    x = 568,086,301,225/351,433
  6. Step 6: Final answer
    x = 1,616,485.36

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.