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Finding the Third Proportional to 336,842 and 720,358

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Solution

The third proportional to 336,842 and 720,358 is: 1,540,531.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,842 : 720,358 = 720,358 : x
  2. Step 2: Convert to fraction form
    336,842/720,358 = 720,358/x
  3. Step 3: Cross multiply
    336,842x = 720,358 × 720,358
  4. Step 4: Simplify right side
    336,842x = 518,915,648,164
  5. Step 5: Solve for x
    x = 518,915,648,164/336,842
  6. Step 6: Final answer
    x = 1,540,531.31

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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.