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Finding the Third Proportional to 210,174 and 289,011

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Solution

The third proportional to 210,174 and 289,011 is: 397,420.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,174 : 289,011 = 289,011 : x
  2. Step 2: Convert to fraction form
    210,174/289,011 = 289,011/x
  3. Step 3: Cross multiply
    210,174x = 289,011 × 289,011
  4. Step 4: Simplify right side
    210,174x = 83,527,358,121
  5. Step 5: Solve for x
    x = 83,527,358,121/210,174
  6. Step 6: Final answer
    x = 397,420.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.