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Finding the Third Proportional to 149,158 and 290,756

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Solution

The third proportional to 149,158 and 290,756 is: 566,775.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,158 : 290,756 = 290,756 : x
  2. Step 2: Convert to fraction form
    149,158/290,756 = 290,756/x
  3. Step 3: Cross multiply
    149,158x = 290,756 × 290,756
  4. Step 4: Simplify right side
    149,158x = 84,539,051,536
  5. Step 5: Solve for x
    x = 84,539,051,536/149,158
  6. Step 6: Final answer
    x = 566,775.17

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.