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Finding the Third Proportional to 157,081 and 210,703

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Solution

The third proportional to 157,081 and 210,703 is: 282,629.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,081 : 210,703 = 210,703 : x
  2. Step 2: Convert to fraction form
    157,081/210,703 = 210,703/x
  3. Step 3: Cross multiply
    157,081x = 210,703 × 210,703
  4. Step 4: Simplify right side
    157,081x = 44,395,754,209
  5. Step 5: Solve for x
    x = 44,395,754,209/157,081
  6. Step 6: Final answer
    x = 282,629.69

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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.