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Finding the Third Proportional to 101,703 and 210,478

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Solution

The third proportional to 101,703 and 210,478 is: 435,591.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,703 : 210,478 = 210,478 : x
  2. Step 2: Convert to fraction form
    101,703/210,478 = 210,478/x
  3. Step 3: Cross multiply
    101,703x = 210,478 × 210,478
  4. Step 4: Simplify right side
    101,703x = 44,300,988,484
  5. Step 5: Solve for x
    x = 44,300,988,484/101,703
  6. Step 6: Final answer
    x = 435,591.76

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.