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Finding the Third Proportional to 353,679 and 723,699

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Solution

The third proportional to 353,679 and 723,699 is: 1,480,835.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,679 : 723,699 = 723,699 : x
  2. Step 2: Convert to fraction form
    353,679/723,699 = 723,699/x
  3. Step 3: Cross multiply
    353,679x = 723,699 × 723,699
  4. Step 4: Simplify right side
    353,679x = 523,740,242,601
  5. Step 5: Solve for x
    x = 523,740,242,601/353,679
  6. Step 6: Final answer
    x = 1,480,835.00

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.