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Finding the Third Proportional to 210,789 and 308,296

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Solution

The third proportional to 210,789 and 308,296 is: 450,907.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,789 : 308,296 = 308,296 : x
  2. Step 2: Convert to fraction form
    210,789/308,296 = 308,296/x
  3. Step 3: Cross multiply
    210,789x = 308,296 × 308,296
  4. Step 4: Simplify right side
    210,789x = 95,046,423,616
  5. Step 5: Solve for x
    x = 95,046,423,616/210,789
  6. Step 6: Final answer
    x = 450,907.89

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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.