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Finding the Third Proportional to 145,814 and 208,515

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Solution

The third proportional to 145,814 and 208,515 is: 298,177.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,814 : 208,515 = 208,515 : x
  2. Step 2: Convert to fraction form
    145,814/208,515 = 208,515/x
  3. Step 3: Cross multiply
    145,814x = 208,515 × 208,515
  4. Step 4: Simplify right side
    145,814x = 43,478,505,225
  5. Step 5: Solve for x
    x = 43,478,505,225/145,814
  6. Step 6: Final answer
    x = 298,177.85

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.