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Finding the Third Proportional to 211,290 and 289,710

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Solution

The third proportional to 211,290 and 289,710 is: 397,235.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,290 : 289,710 = 289,710 : x
  2. Step 2: Convert to fraction form
    211,290/289,710 = 289,710/x
  3. Step 3: Cross multiply
    211,290x = 289,710 × 289,710
  4. Step 4: Simplify right side
    211,290x = 83,931,884,100
  5. Step 5: Solve for x
    x = 83,931,884,100/211,290
  6. Step 6: Final answer
    x = 397,235.48

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.