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Finding the Third Proportional to 148,950 and 208,356.75

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Solution

The third proportional to 148,950 and 208,356.75 is: 291,457.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,950 : 208,356.75 = 208,356.75 : x
  2. Step 2: Convert to fraction form
    148,950/208,356.75 = 208,356.75/x
  3. Step 3: Cross multiply
    148,950x = 208,356.75 × 208,356.75
  4. Step 4: Simplify right side
    148,950x = 43,412,535,270.56
  5. Step 5: Solve for x
    x = 43,412,535,270.56/148,950
  6. Step 6: Final answer
    x = 291,457.10

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.