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Finding the Third Proportional to 157,250 and 209,503

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Solution

The third proportional to 157,250 and 209,503 is: 279,119.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,250 : 209,503 = 209,503 : x
  2. Step 2: Convert to fraction form
    157,250/209,503 = 209,503/x
  3. Step 3: Cross multiply
    157,250x = 209,503 × 209,503
  4. Step 4: Simplify right side
    157,250x = 43,891,507,009
  5. Step 5: Solve for x
    x = 43,891,507,009/157,250
  6. Step 6: Final answer
    x = 279,119.28

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.