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Finding the Third Proportional to 210,086 and 306,102

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Solution

The third proportional to 210,086 and 306,102 is: 446,000.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,086 : 306,102 = 306,102 : x
  2. Step 2: Convert to fraction form
    210,086/306,102 = 306,102/x
  3. Step 3: Cross multiply
    210,086x = 306,102 × 306,102
  4. Step 4: Simplify right side
    210,086x = 93,698,434,404
  5. Step 5: Solve for x
    x = 93,698,434,404/210,086
  6. Step 6: Final answer
    x = 446,000.37

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.