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Finding the Third Proportional to 119,615 and 258,913

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Solution

The third proportional to 119,615 and 258,913 is: 560,430.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,615 : 258,913 = 258,913 : x
  2. Step 2: Convert to fraction form
    119,615/258,913 = 258,913/x
  3. Step 3: Cross multiply
    119,615x = 258,913 × 258,913
  4. Step 4: Simplify right side
    119,615x = 67,035,941,569
  5. Step 5: Solve for x
    x = 67,035,941,569/119,615
  6. Step 6: Final answer
    x = 560,430.90

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.