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Finding the Third Proportional to 157,079 and 210,700

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Solution

The third proportional to 157,079 and 210,700 is: 282,625.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,079 : 210,700 = 210,700 : x
  2. Step 2: Convert to fraction form
    157,079/210,700 = 210,700/x
  3. Step 3: Cross multiply
    157,079x = 210,700 × 210,700
  4. Step 4: Simplify right side
    157,079x = 44,394,490,000
  5. Step 5: Solve for x
    x = 44,394,490,000/157,079
  6. Step 6: Final answer
    x = 282,625.24

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.