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Finding the Third Proportional to 478,847 and 741,431

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Solution

The third proportional to 478,847 and 741,431 is: 1,148,007.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,847 : 741,431 = 741,431 : x
  2. Step 2: Convert to fraction form
    478,847/741,431 = 741,431/x
  3. Step 3: Cross multiply
    478,847x = 741,431 × 741,431
  4. Step 4: Simplify right side
    478,847x = 549,719,927,761
  5. Step 5: Solve for x
    x = 549,719,927,761/478,847
  6. Step 6: Final answer
    x = 1,148,007.46

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.