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Finding the Third Proportional to 148,740 and 290,006

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Solution

The third proportional to 148,740 and 290,006 is: 565,439.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,740 : 290,006 = 290,006 : x
  2. Step 2: Convert to fraction form
    148,740/290,006 = 290,006/x
  3. Step 3: Cross multiply
    148,740x = 290,006 × 290,006
  4. Step 4: Simplify right side
    148,740x = 84,103,480,036
  5. Step 5: Solve for x
    x = 84,103,480,036/148,740
  6. Step 6: Final answer
    x = 565,439.56

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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.