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Finding the Third Proportional to 149,631 and 209,962.50

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Solution

The third proportional to 149,631 and 209,962.50 is: 294,619.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,631 : 209,962.50 = 209,962.50 : x
  2. Step 2: Convert to fraction form
    149,631/209,962.50 = 209,962.50/x
  3. Step 3: Cross multiply
    149,631x = 209,962.50 × 209,962.50
  4. Step 4: Simplify right side
    149,631x = 44,084,251,406.25
  5. Step 5: Solve for x
    x = 44,084,251,406.25/149,631
  6. Step 6: Final answer
    x = 294,619.77

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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.