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Finding the Third Proportional to 148,918.50 and 290,364.75

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Solution

The third proportional to 148,918.50 and 290,364.75 is: 566,159.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,918.50 : 290,364.75 = 290,364.75 : x
  2. Step 2: Convert to fraction form
    148,918.50/290,364.75 = 290,364.75/x
  3. Step 3: Cross multiply
    148,918.50x = 290,364.75 × 290,364.75
  4. Step 4: Simplify right side
    148,918.50x = 84,311,688,042.56
  5. Step 5: Solve for x
    x = 84,311,688,042.56/148,918.50
  6. Step 6: Final answer
    x = 566,159.93

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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.