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Finding the Third Proportional to 157,243.50 and 245,205

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Solution

The third proportional to 157,243.50 and 245,205 is: 382,371.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,243.50 : 245,205 = 245,205 : x
  2. Step 2: Convert to fraction form
    157,243.50/245,205 = 245,205/x
  3. Step 3: Cross multiply
    157,243.50x = 245,205 × 245,205
  4. Step 4: Simplify right side
    157,243.50x = 60,125,492,025
  5. Step 5: Solve for x
    x = 60,125,492,025/157,243.50
  6. Step 6: Final answer
    x = 382,371.88

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.