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Finding the Third Proportional to 150,187 and 209,971.50

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Solution

The third proportional to 150,187 and 209,971.50 is: 293,554.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,187 : 209,971.50 = 209,971.50 : x
  2. Step 2: Convert to fraction form
    150,187/209,971.50 = 209,971.50/x
  3. Step 3: Cross multiply
    150,187x = 209,971.50 × 209,971.50
  4. Step 4: Simplify right side
    150,187x = 44,088,030,812.25
  5. Step 5: Solve for x
    x = 44,088,030,812.25/150,187
  6. Step 6: Final answer
    x = 293,554.24

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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.