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Finding the Third Proportional to 336,872 and 720,424

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Solution

The third proportional to 336,872 and 720,424 is: 1,540,676.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,872 : 720,424 = 720,424 : x
  2. Step 2: Convert to fraction form
    336,872/720,424 = 720,424/x
  3. Step 3: Cross multiply
    336,872x = 720,424 × 720,424
  4. Step 4: Simplify right side
    336,872x = 519,010,739,776
  5. Step 5: Solve for x
    x = 519,010,739,776/336,872
  6. Step 6: Final answer
    x = 1,540,676.40

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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.