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Finding the Third Proportional to 157,716 and 335,520

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Solution

The third proportional to 157,716 and 335,520 is: 713,774.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,716 : 335,520 = 335,520 : x
  2. Step 2: Convert to fraction form
    157,716/335,520 = 335,520/x
  3. Step 3: Cross multiply
    157,716x = 335,520 × 335,520
  4. Step 4: Simplify right side
    157,716x = 112,573,670,400
  5. Step 5: Solve for x
    x = 112,573,670,400/157,716
  6. Step 6: Final answer
    x = 713,774.57

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.