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Finding the Third Proportional to 670,736 and 984,720

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Solution

The third proportional to 670,736 and 984,720 is: 1,445,685.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    670,736 : 984,720 = 984,720 : x
  2. Step 2: Convert to fraction form
    670,736/984,720 = 984,720/x
  3. Step 3: Cross multiply
    670,736x = 984,720 × 984,720
  4. Step 4: Simplify right side
    670,736x = 969,673,478,400
  5. Step 5: Solve for x
    x = 969,673,478,400/670,736
  6. Step 6: Final answer
    x = 1,445,685.75

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.