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Finding the Third Proportional to 145,930 and 209,679

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Solution

The third proportional to 145,930 and 209,679 is: 301,276.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,930 : 209,679 = 209,679 : x
  2. Step 2: Convert to fraction form
    145,930/209,679 = 209,679/x
  3. Step 3: Cross multiply
    145,930x = 209,679 × 209,679
  4. Step 4: Simplify right side
    145,930x = 43,965,283,041
  5. Step 5: Solve for x
    x = 43,965,283,041/145,930
  6. Step 6: Final answer
    x = 301,276.52

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.