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Finding the Third Proportional to 336,880 and 720,440

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Solution

The third proportional to 336,880 and 720,440 is: 1,540,708.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,880 : 720,440 = 720,440 : x
  2. Step 2: Convert to fraction form
    336,880/720,440 = 720,440/x
  3. Step 3: Cross multiply
    336,880x = 720,440 × 720,440
  4. Step 4: Simplify right side
    336,880x = 519,033,793,600
  5. Step 5: Solve for x
    x = 519,033,793,600/336,880
  6. Step 6: Final answer
    x = 1,540,708.25

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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.