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Finding the Third Proportional to 317,238.50 and 686,749

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Solution

The third proportional to 317,238.50 and 686,749 is: 1,486,654.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,238.50 : 686,749 = 686,749 : x
  2. Step 2: Convert to fraction form
    317,238.50/686,749 = 686,749/x
  3. Step 3: Cross multiply
    317,238.50x = 686,749 × 686,749
  4. Step 4: Simplify right side
    317,238.50x = 471,624,189,001
  5. Step 5: Solve for x
    x = 471,624,189,001/317,238.50
  6. Step 6: Final answer
    x = 1,486,654.96

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.