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Finding the Third Proportional to 372,164 and 806,728

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Solution

The third proportional to 372,164 and 806,728 is: 1,748,718.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,164 : 806,728 = 806,728 : x
  2. Step 2: Convert to fraction form
    372,164/806,728 = 806,728/x
  3. Step 3: Cross multiply
    372,164x = 806,728 × 806,728
  4. Step 4: Simplify right side
    372,164x = 650,810,065,984
  5. Step 5: Solve for x
    x = 650,810,065,984/372,164
  6. Step 6: Final answer
    x = 1,748,718.48

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.