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Finding the Third Proportional to 313,732 and 688,972

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Solution

The third proportional to 313,732 and 688,972 is: 1,513,018.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,732 : 688,972 = 688,972 : x
  2. Step 2: Convert to fraction form
    313,732/688,972 = 688,972/x
  3. Step 3: Cross multiply
    313,732x = 688,972 × 688,972
  4. Step 4: Simplify right side
    313,732x = 474,682,416,784
  5. Step 5: Solve for x
    x = 474,682,416,784/313,732
  6. Step 6: Final answer
    x = 1,513,018.81

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.