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Finding the Third Proportional to 149,166 and 208,557

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Solution

The third proportional to 149,166 and 208,557 is: 291,594.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,166 : 208,557 = 208,557 : x
  2. Step 2: Convert to fraction form
    149,166/208,557 = 208,557/x
  3. Step 3: Cross multiply
    149,166x = 208,557 × 208,557
  4. Step 4: Simplify right side
    149,166x = 43,496,022,249
  5. Step 5: Solve for x
    x = 43,496,022,249/149,166
  6. Step 6: Final answer
    x = 291,594.75

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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.