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Finding the Third Proportional to 372,342 and 803,724

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Solution

The third proportional to 372,342 and 803,724 is: 1,734,889.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,342 : 803,724 = 803,724 : x
  2. Step 2: Convert to fraction form
    372,342/803,724 = 803,724/x
  3. Step 3: Cross multiply
    372,342x = 803,724 × 803,724
  4. Step 4: Simplify right side
    372,342x = 645,972,268,176
  5. Step 5: Solve for x
    x = 645,972,268,176/372,342
  6. Step 6: Final answer
    x = 1,734,889.61

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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.