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Finding the Third Proportional to 378,925 and 810,365

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Solution

The third proportional to 378,925 and 810,365 is: 1,733,038.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,925 : 810,365 = 810,365 : x
  2. Step 2: Convert to fraction form
    378,925/810,365 = 810,365/x
  3. Step 3: Cross multiply
    378,925x = 810,365 × 810,365
  4. Step 4: Simplify right side
    378,925x = 656,691,433,225
  5. Step 5: Solve for x
    x = 656,691,433,225/378,925
  6. Step 6: Final answer
    x = 1,733,038.02

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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.