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Finding the Third Proportional to 372,416 and 803,872

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Solution

The third proportional to 372,416 and 803,872 is: 1,735,183.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,416 : 803,872 = 803,872 : x
  2. Step 2: Convert to fraction form
    372,416/803,872 = 803,872/x
  3. Step 3: Cross multiply
    372,416x = 803,872 × 803,872
  4. Step 4: Simplify right side
    372,416x = 646,210,192,384
  5. Step 5: Solve for x
    x = 646,210,192,384/372,416
  6. Step 6: Final answer
    x = 1,735,183.75

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.